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4.11 Vectors (A-level only)

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Question 37

Relative to a fixed origin $O$ , the point $A\,$ has position vector $4i−j+2k4\mathbf{i} - \mathbf{j} + 2\mathbf{k}$ and the point $B\,$ has position vector $−2i+5j+8k-2\mathbf{i} + 5\mathbf{j} + 8\mathbf{k}$ .

The point $M\,$ lies on $AB\,$ such that $A M : M B = 1 : 2$ .

Find the position vector of $M$ .

[3]

Find the exact distance $O M$ .

[2]

The point $N\,$ is such that $OANB\,$ is a parallelogram. Find the position vector of $N$ .

[2]

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 37

The point $M\,$ lies on $AB\,$ such that $A M : M B = 1 : 2$ .

Find the position vector of $M$ .

[3]

Find the exact distance $O M$ .

[2]

The point $N\,$ is such that $OANB\,$ is a parallelogram. Find the position vector of $N$ .

[2]

Markscheme

4.11 Vectors (A-level only) Questions

A Level
Maths
4.11 Vectors (A-level only)