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Question 6

The points $A\,$ and $B\,$ have position vectors $−3)\begin{pmatrix} 2 \ 1 \ -3 \end{pmatrix}$ and $0)\begin{pmatrix} 5 \ -1 \ 0 \end{pmatrix}$ 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 $1)\begin{pmatrix} 4 \ 2 \ 1 \end{pmatrix}$ and $−2)\begin{pmatrix} 1 \ 4 \ -2 \end{pmatrix}$ respectively. Show that $ABPQ\,$ is a parallelogram.

[3]

Markscheme

Vectors Questions

A Level
Maths
Vectors

109 exam-style questions on Edexcel A Level Maths Vectors, covering 12.1 3D Coordinates, 12.2 Vectors in 3D, 12.3 Solving Geometric Problems, and 12.4 Application to Mechanics. Each one has a worked solution and a mark scheme showing where the marks go.

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Question 6

The points $A\,$ and $B\,$ have position vectors $−3)\begin{pmatrix} 2 \ 1 \ -3 \end{pmatrix}$ and $0)\begin{pmatrix} 5 \ -1 \ 0 \end{pmatrix}$ 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 $1)\begin{pmatrix} 4 \ 2 \ 1 \end{pmatrix}$ and $−2)\begin{pmatrix} 1 \ 4 \ -2 \end{pmatrix}$ respectively. Show that $ABPQ\,$ is a parallelogram.

[3]

Markscheme

Vectors Questions

A Level
Maths
Vectors