Vectors (H) - Maths Tutorials, Resources And Support
Vectors (H)A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas.Name:Total Marks:1. Vectors DF and DE are shown in the diagram below.Line PQ is 3 times the length of line EF.PQ is in the opposite direction to EF.Find PQ in the form ma nb.[4]2.OMA, ONB and ABC are straight lines.M is the midpoint of OA.B is the midpoint of AC.𝑂𝐴 6a𝑂𝐵 6b𝑂𝑁 kb where k is a scalar quantity.www.justmaths.co.ukVectors (H) - Version 2 January 2016
Given that MNC is a straight line, find the value of k.[5]3. P, Q, R and S are the midpoints of OX, XY, YZ and OZ respectively.𝑂𝑃 a, 𝑋𝑄 b and 𝑂𝑆 c.Show that PQ is parallel to SR.[5]4. Vectors a, b, c, d and e are drawn on an isometric grid.Write each of the vectors c, d and e in terms of a and/or b.www.justmaths.co.ukVectors (H) - Version 2 January 2016
c .d .e .[3]5. a 52and b Circle the vector a23b[1]353171756. In triangle ABCM is the midpoint of ACN is the point on BC where BN : NC 2 : 3𝐴𝐶 2a𝐴𝐵 3ba) Work out 𝑀𝑁 in terms of a and b.Give your answer in its simplest form.[3]b) Use your answer to part (a) to explain why MN is not parallel to AB.[1]www.justmaths.co.ukVectors (H) - Version 2 January 2016
7.𝑂𝐴𝐵 is a triangle.𝑃 is the point on 𝐴𝐵 such that 𝐴𝑃 𝑃𝐵 5:3𝑂𝐴 2𝑎𝑂𝐵 2𝑏𝑂𝑃 𝑘(3𝑎 5𝑏) where 𝑘 is a scalar quantity.Find the value of 𝑘.[4]8.𝐶𝐴𝑌𝐵 is a quadrilateral.𝐶𝐴 3a𝐶𝐵 6bwww.justmaths.co.ukVectors (H) - Version 2 January 2016
𝐵𝑌 5abX is the point on 𝐴𝐵 such that 𝐴𝑋 𝑋𝐵 1 : 2Prove that 𝐶𝑋 2𝐶𝑌[5]9. 𝐴𝐵𝐶𝐷 is a parallelogram.𝐴𝐵𝐸 is a straight line and 𝐴𝐵 𝐵𝐸 3 : 2𝐵𝐶 and 𝐸𝐷 intersect at F.𝐴𝐵 a and 𝐴𝐷 bahhhhimmaa) Work out 𝐸𝐷 in terms of a and b.Give your answer in its simplest form.out[3]b) Deduce 𝐸𝐹 in terms of a and b.[2]www.justmaths.co.ukVectors (H) - Version 2 January 2016
10. AED is a straight line.AE a 3bEB a ba) Work out the vector AB[1]b) Also ED 1AE and DC 1aProve that EC is parallel to AB.[3]www.justmaths.co.ukVectors (H) - Version 2 January 2016
CREDITS AND NOTESQuestion Awarding Body1WJEC Eduqas2Pearson Edexcel3OCR4OCR5AQA6AQA7Pearson Edexcel8Pearson Edexcel9AQA10AQANotes:These questions have been retyped from the original sample/specimenassessment materials and whilst every effort has been made to ensure thereare no errors, any that do appear are mine and not the exam board s (similarlyany errors I have corrected from the originals are also my corrections and nottheirs!).Please also note that the layout in terms of fonts, answer lines and space givento each question does not reflect the actual papers to save space.These questions have been collated by me as the basis for a GCSE workingparty set up by the GLOW maths hub - if you want to get involved please getin touch. The objective is to provide support to fellow teachers and to give youa fla o of ho diffe en opic co ld be e amined. The ho ld no be edto form a decision as to which board to use. There is no guarantee that a topicill oon appea in he li e pape f om a pecific e am boa d or thatexamination of a topic will be as shown in these questions.Links:AQA thematics-8300OCR http://ocr.org.uk/gcsemathsPearson Edexcel s/edexcel-gcses/mathematics-2015.htmlWJEC Eduqas /gcse/Contents:This version contains questions from:AQASample Assessment Material, Practice set 1 and Practice set 2OCRSample Assessment Material and Practice set 1Pearson EdexcelWJEC EduqasSample Assessment Material, Specimen set 1 and Specimen set 2Sample Assessment Materialwww.justmaths.co.ukVectors (H) - Version 2 January 2016
Vectors (H) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. 1. Vectors DF and DE are shown in the diagram below. Line PQ is 3 times the length of line EF. PQ is in the opposite direction to EF. Find PQ in the form ma nb. [4]
I think of atomic vectors as “just the data” Atomic vectors are the building blocks for augmented vectors Augmented vectors Augmented vectors are atomic vectors with additional attributes attach
SAU PhD Maths Questions Papers Contents: SAU PhD Maths Que. Paper-2014 SAU PhD Maths Que. Paper-2015 SAU PhD Maths Que. Paper-2016 SAU PhD Maths Que. Paper-2017 SAU PhD Maths Que. Paper-2018 SAU PhD Maths
Higher Maths E&F 1.4 Vectors Page Topic Textbook 2-10 Working with Vectors Ex 5A All Qs 11-12 Position Vectors and Coordinates Ex 5B Q1-7 13 Internal division of a line Ex 5C All Qs 14 Vector Pathways Ex 5D Q 1-4, 5, 7, 9 15-16 Collinearity Ex 5E 1ab, 2a, 3-7, 8, 10, 12, 14 17 The Zero Vector Ex 6A .
Two nonparallel vectors always define a plane, and the angle is the angle between the vectors measured in that plane. Note that if both a and b are unit vectors, then kakkbk 1, and ab cos . So, in general if you want to find the cosine of the angle between two vectors a and b, first compute the unit vectors aˆ and bˆ in the directions of a .
Draw vectors on your map from point to point along the trip through NYC in different colors. North Vectors-Red South Vectors-Blue East Vectors-Green West Vectors-Yellow Site Address Penn Station 33 rd St and 7th Ave Empire State Building 34th St and 5th Ave NY NY Library 41st and 5th Ave .
Chapter 6 139 Vectors and Scalars (ii) Vectors Addition is Associative: i.e. a b c a b c where . a , b . and . c . are any three vectors. (iii) O is the identity in vectors addition: Fig.9. For every vector . a O a Where . O. is the zero vector. Remarks: Non-parallel vectors are not added or subtracted by the .
6.1 An Introduction to Vectors, pp. 279-281 1. a.False. Two vectors with the same magnitude can have different directions, so they are not equal. b. True. Equal vectors have the same direction and the same magnitude. c. False. Equal or opposite vectors must be parallel and have the same magnitude. If two parallel vectors
Mata kulian Anatomi dan Fisiologi Ternak di fakultas Peternakan merupakan mata kuliah wajib bagi para mahasiswa peternakan dan m.k. ini diberikan pada semester 3 dengan jumlah sks 4 (2 kuliah dan 2 praktikum.Ilmu Anatomi dan Fisiologi ternak ini merupakan m.k. dasar yang harus dipahami oleh semua mahasiswa peternakan. Ilmu Anatomi dan Fisiologi Ternak ini yang mendasari ilmu-ilmu yang akan .
