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4.11 Vectors (A-level only)

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Question 57

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

4.11 Vectors (A-level only) Questions

A Level
Maths
4.11 Vectors (A-level only)

133 exam-style questions on WJEC A Level Maths 4.11 Vectors (A-level only), covering 4.11.1 Vectors (A-level only) and 4.11.2 Vectors (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

4.11 Vectors (A-level only)

Question bank

4.11 Vectors (A-level only)

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Question 57

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

4.11 Vectors (A-level only) Questions

A Level
Maths
4.11 Vectors (A-level only)