Revision world vectors answers. The tension in the rope is 350 N.

Revision world vectors answers This section also includes SQA National 5 physics past papers. 0 Past Papers (1EN2) Paper 1: 1EN2/01 English Language 2. 10. Solving Vector Problems The following video will outline the concepts that you will need to answer all of the vectors questions that may come on your CSEC Math exam. How do I use factorisation to show two vectors are parallel? If two vectors factorise with a common bracket, then they are parallel. After studying this section, you will be able to: identify the zero vector and unit vectors Angle Between Two Vectors. Revision World offers revision and exam advice so get revising. For Examiner’s Use Form Two Math revision questions on all topics including Cubes, Cube Roots and Reciprocals, Indices and Logarithms, Equations of a Straight Line, Linear Inequalities, Quadratic Expressions, Trigonometry, Rotation, Enlargement, Statistics, Vectors, Surface area and Volume of Solids and more. Do not write outside the box around each page or on blank pages. 1 Basic Vectors for the Edexcel International A Level Maths: Pure 4 syllabus, written by the Maths experts at Save My Exams. This means it can be represented by two vectors, which in combination have the same effect as the original one November 2021 Pearson Edexcel GCSE (9-1) English Literature Past Papers (1ET0) Paper 1: 1ET0/01 English Literature - Shakespeare and Post - 1914 Literature. GCSE Religious Studies A (8062/11) Paper 1: Buddhism Download Past Paper - Download Mark Scheme. Sample Questions & Answers Comparing the texts helps show the changing English language in a short period of time, with the main reason being technological and educational advances. Practice Exams, Questionbank, Past Papers, Videos November 2019 WJEC English Language Past Papers (3700U) Unit 2: (3700U20-1) Reading and Writing: Description, Narration and Exposition Download Paper- Download Resource Material - Download Mark Scheme Back to GCSE Revision. An important fact is that two vectors are perpendicular (orthogonal) if and only if their dot product is zero. Fun and easy Vectors quizzes based on GCSE AQA Maths past papers. Learn through well answered past exams questions. This is the top number in the column vector and tells us how many spaces to the right or left to move. Work out the change in velocity of the van. Given the points P(-6, -3), Q(-2, -1) and R(6, 3) express PQ and QR as column vectors. 18 m s–1 in a direction 29° S of E Pearson IGCSE English Language A and IGCSE English Language B (9-1) exams past papers and marking scheme for syllabuses 4EA1 and 4EB1. Vectors are represented by an arrow. Paper 2: Building a Business (1BS0/02) GCSE Physics past papers and marking schemes, from AQA, Edexcel, OCR, WJEC, CCEA and CIE. txt) or read online for free. Past exam Papers from AQA, Edexcel, Eduqas, OCR, WJEC, CEA and CIE. Sometimes a vector has two independent effects which need to be isolated. Velocity is a vector, because velocity is speed in a given direction. A-Level Paper 2: Core Pure Mathematics 2 (9FM0/02) Horizontal component = 329 N Vertical component = 120 N. In computer graphics, vectors are used to calculate how 3D models are rotated and scaled on the screen. Quantities that have a magnitude and direction are called vectors. For example: two objects with velocities of 7 m/s and ‑7 m/s are travelling at the same speed but in opposite directions Apr 22, 2024 · Note the difference between "specific" and "general" vectors The vector in the diagram is specific and refers only to the vector starting at and ending at ; However, the vector is a general vector - any vector the same length as and pointing in the same direction is equal to Revision on O Level Vectors (Questions) - Free download as PDF File (. 12 Video Lessons. You must answer the questions in the space provided. 1 Scalars & Vectors for the AQA GCSE Physics: Combined Science syllabus, written by the Physics experts at Save My Exams. Feb 10, 2021 · Questions. This section includes recent GCSE English Literature past papers from AQA, Edexcel, Eduqas, OCR, WJEC and CIE IGCSE. This section includes recent GCSE Business and GCSE Economics past papers from AQA, Edexcel, Eduqas, OCR, WJEC and CIE IGCSE. Information The marks for questions are shown in brackets. The document provides two problems involving vectors. Nov 15, 2024 · How do I add and subtract column vectors? Adding and subtracting vectors is done by looking at the top numbers and bottom numbers separately. June 2022: Paper 1M: Modern Prose/ Drama (8702/1M) Download Past Paper - Download Mark Scheme. Maths revision video and notes on the topic of vectors. They can be written as scalar multiples For example. Cross through any work that you do not want to be marked. 0 - Non Fiction Texts Download Paper – Download Mark Scheme This section includes recent A-Level Economics past papers from AQA, Edexcel, OCR, WJEC and CIE. The length of the arrow represents the magnitude. The Geometry and Measures GCSE maths revision section of Revision Maths, covering: Constructions, Bearings, Loci, Angle and Angles Theorems, Properties of Polygons, Quadrilaterals, Transformations, Circle Theorem and Definitions, Properties of 3D Shapes, Area, Perimeter, Volume and Vectors. June 2022 Pearson Edexcel Combined Science Past Exam Papers (1SC0) June 2022 Paper 1: Biology 1 (1SC0/1BF) – Foundation Tier Download Paper – Download Marking Scheme GCSE English Language exams past papers and marking schemes. Revision Maths offers mathematics students free GCSE and A Level maths revision resources and maths exam advice. For column vectors, add the tops together and bottoms together. These notes look at finding the magnitude, or modulus, of a vector You may ask for more answer paper and graph paper. The length of the arrow represents the magnitude . This was taken from my 150 Page workbook which covers many more maths topics. 8 N at an angle of 22° to the 10 N force Home; A-Level Revision; Physics A-Level Revision; Force & Motion; Forces & Vectors; QUESTIONS; Question 1 There are three steps to finding the sum of two vectors. Revision - Statistics, Probability, Vectors (Answers) - Free download as PDF File (. Nov 18, 2024 · Resolving Vectors. June 2022 AQA GCSE Religious Studies A (8062) Past Papers . A vector with magnitude 0 is called the zero vector, written 0. Subtract the second bottom number from the 1) 141 cm3 to the nearest whole number 2) 8. Oct 23, 2023 · Vectors have various uses in mathematics In mechanics vectors represent velocity, acceleration and forces; At IGCSE vectors are used in geometry – eg. Create a study planner or revision timetable and download past papers. Solution: The notation ˆi and ˆj are the unit vectors (magnitude of 1) in the direction of x and yaxes. You will need to add and subtract vectors; You will also need to multiply vectors and understand scalar multiples of vectors Vectors Q1: Q1 Video Solution: Vectors Answer 1: Vectors Q2: Q2 Video Solution: Vectors Answer 2: Vectors Q3: Q3 Video Solution: Vectors Answer 3: Vectors Q4: Q4 Video Solution: Vectors Answer 4: Vectors Q5: Q5 Video Solution: Vectors Answer 5: Vectors Q6: Q6 Video Solution: Vectors Answer 6: Vectors Q7: Q7 Video Solution: Vectors Answer 7 18 m s–1 in a direction 29° S of E Answer. Password. translation; Ensure you are familiar with the Revision Notes Vectors – Basics; Vectors have magnitude and direction. Example : A boy walks in a positive direction and then back again with a constant speed of 2 m/s, so he walks with a velocity of +2 m/s and then with a velocity of –2m/s. In this session, several question on variation will be answered with aid of video lessons. This section includes recent A-Level exam past papers for many A-Level subjects. The position vectors of A and B are 2 and 8 respectively. Add the top numbers together. To subtract column vectors. Finish Sign Up. These International GCSE papers are Free to download. Free to Download. Username I agree to receive news, tips, updates and promotional emails Finish. Force is a vector quantity because force has magnitude and direction Kick-start your revision with our online Mock Preparation Courses. Form 3 Revision Questions and Answers on Variation. Just make sure it has the correct length and the correct direction. Practice multiple choice questions, see explanations for every answers, and track your progress. Two vectors can be represented by a single resultant vector. GCSE Religious Studies A (8062/12) Paper 1: Catholic Christianity Jan 2, 2025 · Two vectors are parallel if one is a scalar multiple of the other This means if b is parallel to a , then b = k a where k is a constant number (scalar) Find step-by-step solutions and answers to Pearson Edexcel GCSE (9-1) Mathematics Higher tier Revision Workbook: Catch-up and Revise - 9781292210889, as well as thousands of textbooks so you can move forward with confidence. GCSE Papers . Check your answers if you have time at the end. Download them for free here. Topic Vectors – Answers Vectors in component form 1) (a) (11 −2) (b) (3 −6) (d) (17 0) (e) (21 −12) 2)(a) (−2 4) (b) (36 −2) (c) (−7 4) (d) (−5 10) 3)|a| = 5 |b| = 10 |c| = 5 Vector Questions 1)(a) 2v (b) 2w (c) w – v (d) 2w – 2v BC is parallel to DE and twice as long. June 2022 (8035/1) Paper 1 – Living with the physical environment Download Paper – Download Mark Scheme. . p = 3i + j, q = -5i + j. Questions and model answers on Vectors for the Cambridge (CIE) IGCSE Maths: Extended syllabus, written by the Maths experts at Save My Exams. Vectors: 8/9: Solutions: Probability. Example. Resolving Vectors CIE IGCSE English Language exam past papers and marking schemes for (0627) (9-1) (UK Only) and (0500) English - First Language. Remember that vectors can be used to describe any quantity that has both a magnitude and direction. Vector quantities can be represented by arrows. The first problem asks to (1) express the vector DE as a column vector, (2) find the vector FG in exact form, and (3) identify the type of quadrilateral formed by the points Oct 20, 2024 · If the scalar multiple is negative, then the vectors are parallel and in opposite directions. the last one finishes where the first one starts, it follows that the sum is zero. pdf), Text File (. Component vectors are sometimes drawn with a dotted line and a subscript indicating horizontal or vertical for example F v is the vertical component of the force F. Forgot your password? CLASS 1 th − PHYSICS - VECTORS (COMPLETE CHAPTER REVISION). λ=1 , a c b= −3 Aug 4, 2023 · Revision notes on 7. You may ask for more answer paper and graph paper. In all calculations, show clearly how you work out your answer. Question 2 Nov 15, 2024 · How do I add and subtract column vectors? Adding and subtracting vectors is done by looking at the top numbers and bottom numbers separately. If the vectors being added together form a closed figure, i. After studying this section you should be able to recognise and describe forces,distinguish between a vector and a scalar quantity, add together two vectors and subtract one vector from another and split a vector into two parts at right angles to each other This section includes recent GCSE exam past papers for many GCSE subjects. Just as the combined effect of two vectors acting on a single object can be calculated, two separate effects of a single vector can be found by splitting the vector into two components. On diagrams they are denoted by an arrow, where the length tells us the magnitude and the arrow tells us direction. You can also find notes and past papers from all the major exam boards. The tension in the rope is 350 N. Vector Equation of a Line. A van is travelling north at a speed of 28 m s–1. This means it can be represented by two vectors, which in combination have the same effect as the original one Explain how conifers have adapted to survive cold climates and thin soils (6 marks) Remember to describe the adaptation then explain how that helps the tree survive Conical shape: This makes the tree flexible so it can bend in strong winds Downward sloping branches: So snow can easily slide off them Needle like leaves: Less water is lost due to transpiration especially useful in the winter June 2022 AQA GCSE (9-1) English Literature (8702) Past Exam Papers. Paper 1: A-Level - Markets and Business Behaviour (9EC0/01) Download Past Paper - Download Mark Scheme Adding Vectors. 9a + 6b . Vectors Answers - MME Author: MME Keywords: MME Created Date: 3/20/2023 3:41:13 PM Economics A (9EC0): Pearson Edexcel A-Level Past Papers June 2022. Paper 1: Non-Calculator 8300/1F - Foundation Download Paper - Download Mark Scheme. A single resultant vector can be resolved. 5 m2 4) 48. Given that (3mks) 6. The direction of the arrow indicates the direction . Since the vectors are given in i, j form, we can easily calculate the resultant. The most common way you’ll see is a letter written in bold, for example, these two lines are vectors: For example, the vector \boldsymbol{b} is in the direction of the pink arrow. Form 3 Chemistry Video Questions and Answers on Gas Laws. Subtract the second top number from the first. (3mks) 4. 2)OX = 2 3 a OY = 1 2 a + 1 2 b OZ = 2b XY = 1 2 b - 1 6 a YZ Dec 19, 2024 · MathsWatch Vectors Answers: Simple Solutions for Students Sam December 21, 2024 December 21, 2024 Maths can sometimes feel overwhelming, especially when tackling tricky topics like vectors. a) If the three vectors given above are coplanar, find the value of λ. A vector is something with both magnitude and direction. Advice Read each question carefully before you answer it. Do all rough work in this book. Paper 1: Non-Calculator 8300/1H - Higher The resultant of the vectors is then represented by the single arrow that starts at the beginning of the first vector and ends where the last one finishes. Maths revision video and notes on the topics of writing vectors, finding the distance between 2 points, the vector equation of a line, the intersection of vectors and the a. Excessive development and inappropriate development means the environment is visually less attractive which impacts peoples quality of life 4. June 2022: Paper 1: Explorations in Creative Reading and Writing (8700/1) Download Insert - Download Past Paper - Download Mark Scheme GCSE Maths Revision - Vectors Answers Author: Maths made easy Subject: gcse maths Keywords: Sep 9, 2019 · The Corbettmaths Practice Questions on Vectors. June 2017 Edexcel GCSE Physics Past Exam Papers (2PH01) June 2017 Physics/ Science Unit P1: Universal Physics (5PH1F/01) – Foundation Download Paper – Download Marking Scheme Nov 15, 2024 · How do I add and subtract column vectors? Adding and subtracting vectors is done by looking at the top numbers and bottom numbers separately. June 2022 (8035/2) Paper 2 – Challenges in the human environment Eduqas GCSE (9-1) English Language past exam papers and marking schemes for Syllabus C700U, the past papers are free to download for you to use as practice for your exams. 2. Previous: Volume of a L-Shape Prism Practice Questions Nov 15, 2024 · How do I add and subtract column vectors? Adding and subtracting vectors is done by looking at the top numbers and bottom numbers separately. We use column vectors to give information about a vector. Note: when you are writing in your exam, as you can’t write in bold, you will be expected to underline vectors, like: \underline{a} Shape, Space and Measures section covering Angles, Geometry, Measures and Construction, Shapes, Trigonometry, Circles, 3D Shapes, Transformations, Area and Volume Nov 30, 2024 · Forces as vectors. This is because if q = 90 degrees above, then Adding Vectors. (a) First, resolve the vectors into their components. Oct 20, 2024 · Adding & Subtracting Vectors How do I add vectors? To add vectors you add their components. Paper 1F (Foundation) 4MA1/1F Download Paper – Download Mark Scheme. Resolving a vector is the opposite of adding vectors. The length of each side of the shape is multiplied by a scale factor. If two vectors are added together, the resultant is found by placing the vectors to be added end to end. The OCR maths A-Level and As Level past papers are free to download. Two vectors having equal magnitude of 5 units, have an angle of 6 0 ∘ between them. Subtract the second bottom number from the Revision Maths is the maths revision site. For Examiner’s Use Oct 7, 2024 · How do I draw a vector on a grid? You can draw a vector anywhere on a grid. = - a + b = b - a because you can get from A to B by going from A to O and then going from O to B. This section will cover the following topics Forces and vectors, Some effects of forces, Under stress, Solid materials, Motion in one and two dimensions, Force and acceleration, Newton I and III, Momentum and the second law, Energy to work, Drag and terminal velocity Pearson Edexcel IGCSE Mathematics A (9-1) 4MA1 Past Exam Papers June 2022 . In i and j notation, add i and j parts separately (2i + j) + (i + 4j) = (3i + 5j) Visually, the vector a + b is the shortest route. Apply vectors to real-world applications such as velocity and force. You may ask for more answer paper and graph paper. These must be tagged securely to this answer booklet. June 2022 AQA GCSE (9-1) English Language (8700) Past Exam Papers. Cheat sheets, worksheets, questions by topic and model solutions for Edexcel Maths AS and A-level Vectors AQA GCSE Mathematics (8300) November 2022. Important Questions:Que. Here, the magnitude and direction (angle) of the vectors are given. b) Express a in terms of b and c. A calculator must NOT be used. Simplify your answers. Column vector. Text E is a written letter from 1854, while Text F is a present day email. The vector equation of a line passing through the point a and in the direction d is: A vector has an effect in any direction except the one at right angles to it. 25 cm 3) 19. Answer: Step 1: Recall the definitions of a scalar and vector quantity. The #1 IB Mathematics Resource. GCSE Business is a subject that demands both factual knowledge and the ability to think critically about case studies and business decisions. Exam-focused quizzes for Vectors. May 22, 2024 · Make sure you are ready for your Pearson Edexcel IGCSE Maths Paper 2 by working through these IGCSE questions on Vectors. e. Revision notes on Problem Solving with Vectors for the Cambridge (CIE) IGCSE Maths syllabus, written by the Maths experts at Save My Exams. Find p + q. c is parallel to a and in the opposite direction. Vectors are equal if they have the same magnitude and the same direction. Revision World TV was founded to help students Work out the resultant of the two forces shown in the diagram. Write the following vectors, in terms of and . Past exam Papers from AQA, Edexcel, Eduqas, OCR and the CIE IGCSE. Made by expert teachers. Dec 4, 2024 · Resolving Vectors. The position vectors of points x and y are and respectively. GCSE Revision. A vector with magnitude 1 is called a unit vector. Answer all questions. Edexcel Exam Papers OCR Exam Papers AQA Exam Papers Eduqas Exam Papers. Subtract the second bottom number from the Jan 21, 2021 · Suitable for GCSE Students sitting the 9 – 1, A-Level Maths students revision and some Key Stage 3 students. 1. Utilise vectors to solve problems in geometry such as finding the area of a parallelogram or triangle. This document appears to be notes from mathematics revision sessions on statistics, probability, and vectors conducted by Olivia Chen. Pearson Edexcel GCSE Maths past exam papers and marking schemes for GCSE (9-1) in Mathematics (1MA1), these past papers from the Pearson Edexcel exam board are free to download for you to use as practice for your exams. Revision World is part of a group of revision websites, offering you thousands of free GCSE and A Level revision resources and study help advice. When adding vector quantities, both the size and direction have to be taken into account. 3i is an enlargement of , with centre and scale factor 2. Paper 1FR (Foundation) 4MA1/1FR Revision notes, summary sheets with key points, checklists, worksheets, topic questions and papers with model solutions for AQA, Edexcel, OCR, MEI Maths A-level You may ask for more answer paper and graph paper. A car is being towed with a rope inclined at 20° to the horizontal. For Examiner’s Use GCSE Maths revision section looking at vectors. Suitable for all the big examination boards including AQA, Edexcel, OCR and WJEC. We can use the scalar product to find the angle between two vectors, thanks to the following formula: a·b = |a| | b | cosq, where q is the angle between a and b. Paper 1: Investigating Small Business (1BS0/01) Download Past Paper - Download Mark Scheme. Image Answers 1. Forces can have different effects; they can cause objects to start moving, stop moving, stay in the same place or rotate. revisionworld a2 level revision physics fields Sample question and model answer Pearson Edexcel GCSE Business November 2021 (1BS0) Past Papers. June 2023 Pearson Edexcel GCSE (9-1) English Language 2. Vectors are quantities that have both magnitude and direction Nov 13, 2024 · Resolving Vectors. Subtract the second bottom number from the Revision - Vectors (Answers) - Free download as PDF File (. If OA = 12i + 8j and OB = 16i + 4j. 1 cm2 AQA A-Level and AS-Level Further Mathematics (7367 and 7366) past exam papers and marking schemes. Understand how to break down a vector into components in two and three dimensions. Costs incurred by third parties 3. Add the bottom numbers together. If you are not sure which exam board you are studying ask your teacher. Dec 21, 2024 · Suggest how Blu should explain the difference between mass and weight, using definitions of scalars and vectors in your answer. from the start of a. GCSE Maths (Mathematics) revision section for Maths revision & exam tips, Handling Data (Statistics), Number and Algebra, Shape, space and measures, Trigonometry and Formula Sheet To add together two scalar quantities the normal rules of arithmetic apply, for example, 2 kg + 3 kg = 5 kg and no other answers are possible. 2-day Pure and 1-day Mechanics and Statistics courses running 22-23rd December and 2-3rd January. To draw the vector Pick a point on the grid and draw a dot there Applications of Vectors. They can also be of different types; gravitational forces are caused by and affect objects with mass, friction forces oppose relative motion and the force pushing up on you at the moment, the normal contact force, is due to compression of the material that you are sat on. Part of the Revision World group. Vectors are quantities that have both magnitude and direction Getting a clear idea of what vectors are will make it really easy to understand the math problems you will have to learn how to answer. Apr 5, 2024 · What is a vector? Vectors represent a movement of a certain magnitude (size) in a given direction. Find the coordinates of the point which divides AB internally in the ratio 1:3; Find scalars m and n such that m(4 3) + n(-3 2) = (5 8); In a triangle OAB, M and N are points on OA and OB respectively, such that OM: MA = 2:3 and ON: NB = 2:1. Analysis & Approaches (AA) and Applications & Interpretation (AI). Achieving a Grade 9 in GCSE Business requires a thorough understanding of key concepts, the ability to apply business theory to real-world scenarios, and strong exam technique. This section also includes SQA National 5 maths past papers. Scalars are quantities that have only a magnitude. OCR GCSE Maths past exam papers and marking schemes for Maths 9-1 (J560), the OCR GCSE Maths past papers are free to download for you to practice with before your exams. After turning a corner it is heading 40° east of north at 25 m s–1. Answer. b formula. June 2022 AQA GCSE Geography (8035) Past Papers. Nov 29, 2024 · Revision notes on 5. OCR A-Level and AS Level Maths past exam papers and marking schemes for Mathematics A (H230 and H240) and Mathematics B (MEI) (H630 and H640). A discrepency between pricate costs and social costs or benefits 2. GCSE History exam past papers and marking schemes. A vector has two components: There is a horizontal component, also known as the x component. Work out the horizontal and vertical components of the tension in the rope. Find the magnitude of their resultant vector and its angle from one of the vectors. GCSE Maths past papers and marking schemes, from AQA, Edexcel, Eduqas, OCR, WJEC, CEA and CIE. The arrowhead indicates the direction of the vector. The components of a vector A⃗with magnitude of |A⃗|are determined by the following formula A⃗ x = |A⃗|cosθ A⃗ Questions and model answers on Vectors for the Cambridge O Level Maths syllabus, written by the Maths experts at Save My Exams. to the end of b Username or email address. If the vectors are given in unit vector form, you simply add together the i, j and k values. To add column vectors. The AQA further maths A-Level and AS past papers are free to download. 8 N at an angle of 22° to the 10 N force Home; A-Level Revision; Physics A-Level Revision; Force & Motion; Forces & Vectors; QUESTIONS; Question 1 Revision World - GCSE and A-Level revision. This opens up a wide range of practical applications in the real world. Questions and model answers on Scalars & Vectors for the AQA A Level Physics syllabus, written by the Physics experts at Save My Exams. Find x y as a column vector (2 mks) 5. 4 Scalars & Vectors for the CIE A Level Physics syllabus, written by the Physics experts at Save My Exams. 3i Oct 20, 2024 · Position & Displacement Vectors What are position vectors? A position vector describes where a specific point, A , is, relative to a fixed origin, O. June 2022: Paper 1N: 19th century novel (8702/1N) Kick-start your revision with our online Mock Preparation Courses. Download Paper – Download Mark Scheme 3. Subtract the second bottom number from the Welcome to the GCSE revision section of Revision World where we provide free GCSE revision resources for a range of subjects including, English, French, Geography, History, ICT, Maths, PE, Biology, Chemistry, Physics, Spanish and RS. If the scale factor is greater than 1 then the enlarged image will be bigger than the original object The following three vectors are given 3 2 2 3 2 λ = + + = + + = + + a i j k b i j k c i j k where λ is a scalar constant. Questions and model answers on 1. CIE A Level Maths: Pure 3 exam revision with questions, model answers & video solutions for Vectors in 2 Dimensions. i) [1] ii) [2] iii) [2] Vectors. Category. Hence show that the points P, Q and R are collinear. These are illustrated by working out the sum of a 2 N force acting up the page and a 3 N force acting from left to right, both forces acting on the same object. Lower-case bold (or underlined) letters are used Exam-focused quizzes for Vectors. For Examiner’s Use Zero vector and unit vectors. Subtract the second bottom number from the June 2022 Pearson Edexcel A-Level Further Maths Past Papers (9FM0) A-Level Paper 1: Core Pure Mathematics 1 (9FM0/01) Download Paper – Download Mark Scheme. You can download the question pap A level pure maths year 1 Vectors Question Set and Answers. Oct 18, 2024 · Enlargements What is an enlargement? An enlargement changes the size and position of a shape. skmeiqu njfwg pcon aqrts znwga wcnortt jnjy jmhvju coqqt yegr