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4.11 Vectors (A-level only)

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Question 8

The vectors $a\mathbf{a}$ and $b\mathbf{b}$ are defined as $a=4i−2j−5k\mathbf{a} = 4\mathbf{i} - 2\mathbf{j} - 5\mathbf{k}$ 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 $i+3j−2k\mathbf{i} + 3\mathbf{j} - 2\mathbf{k}$ , 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)

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4.11 Vectors (A-level only)

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Question 8

The vectors $a\mathbf{a}$ and $b\mathbf{b}$ are defined as $a=4i−2j−5k\mathbf{a} = 4\mathbf{i} - 2\mathbf{j} - 5\mathbf{k}$ 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 $i+3j−2k\mathbf{i} + 3\mathbf{j} - 2\mathbf{k}$ , 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)