Course home

1.10 Vectors

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73

Question 46

$a=−5i+7j+2k\mathbf{a} = -5\mathbf{i} + 7\mathbf{j} + 2\mathbf{k}$ and $b=xi+yj+zk\mathbf{b} = x\mathbf{i} + y\mathbf{j} + z\mathbf{k}$

Given that the resultant force of $a\mathbf{a}$ and $b\mathbf{b}$ is $−2i−3j+6k-2\mathbf{i} - 3\mathbf{j} + 6\mathbf{k}$ find the values of $x$ , $y\,$ and $z$

[3]

Markscheme

1.10 Vectors Questions

A Level
Maths
1.10 Vectors

197 exam-style questions on OCR A Level Maths 1.10 Vectors, covering 1.10.1 Vectors in two dimensions, 1.10.2 Vectors in three dimensions (A-level only), 1.10.3 Magnitude and direction of vectors, 1.10.4 Basic operations on vectors, 1.10.5 Position vectors, 1.10.6 Distance between points, 1.10.7 Problem solving using vectors, 1.10.8 Vectors in kinematics, and 1.10 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

1.10 Vectors

Question bank

1.10 Vectors

Easy Medium Hard

Question 46

$a=−5i+7j+2k\mathbf{a} = -5\mathbf{i} + 7\mathbf{j} + 2\mathbf{k}$ and $b=xi+yj+zk\mathbf{b} = x\mathbf{i} + y\mathbf{j} + z\mathbf{k}$

Given that the resultant force of $a\mathbf{a}$ and $b\mathbf{b}$ is $−2i−3j+6k-2\mathbf{i} - 3\mathbf{j} + 6\mathbf{k}$ find the values of $x$ , $y\,$ and $z$

[3]

Markscheme

1.10 Vectors Questions

A Level
Maths
1.10 Vectors