Course home

1.11 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 68

It is given that

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

Given that the resultant 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

1.11 Vectors Questions

A Level
Maths
1.11 Vectors

168 exam-style questions on OCR (MEI) A Level Maths 1.11 Vectors, covering 1.11.1 Language of vectors in two dimensions, 1.11.2 Add, subtract and scale vectors, 1.11.3 Magnitude and direction of a vector, 1.11.4 Position vectors, 1.11.5 Distance between points by position vectors, 1.11.6 Vectors to solve problems, 1.11.7 Language of vectors in three dimensions (A-level only), and 1.11 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

1.11 Vectors

Question bank

1.11 Vectors

Easy Medium Hard

Question 68

It is given that

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

Given that the resultant 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

1.11 Vectors Questions

A Level
Maths
1.11 Vectors