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4.11.1 Vectors (A-level only)

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Question 6

The points $A\,$ and $B\,$ have position vectors $(21−3)\begin{pmatrix} 2 \\ 1 \\ -3 \end{pmatrix}$ and $(5−10)\begin{pmatrix} 5 \\ -1 \\ 0 \end{pmatrix}$ respectively.

Find the exact length of $A B$ .

[2]

Find the position vector of the midpoint of $A B$ .

[1]

The points $P\,$ and $Q\,$ have position vectors $(421)\begin{pmatrix} 4 \\ 2 \\ 1 \end{pmatrix}$ and $(14−2)\begin{pmatrix} 1 \\ 4 \\ -2 \end{pmatrix}$ respectively. Show that $ABPQ\,$ is a parallelogram.

[3]

Markscheme

4.11.1 Vectors (A-level only) Questions

A Level
Maths
4.11.1 Vectors (A-level only)

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

4.11.1 Vectors (A-level only)

Question bank

4.11.1 Vectors (A-level only)

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Question 6

The points $A\,$ and $B\,$ have position vectors $(21−3)\begin{pmatrix} 2 \\ 1 \\ -3 \end{pmatrix}$ and $(5−10)\begin{pmatrix} 5 \\ -1 \\ 0 \end{pmatrix}$ respectively.

Find the exact length of $A B$ .

[2]

Find the position vector of the midpoint of $A B$ .

[1]

[3]

Markscheme

4.11.1 Vectors (A-level only) Questions

A Level
Maths
4.11.1 Vectors (A-level only)

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