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1.11.6 Vectors to solve problems

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Question 5

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

1.11.6 Vectors to solve problems Questions

A Level
Maths
1.11.6 Vectors to solve problems

67 exam-style questions on OCR (MEI) A Level Maths 1.11.6 Vectors to solve problems. Each one has a worked solution and a mark scheme showing where the marks go.

1.11.6 Vectors to solve problems

Question bank

1.11.6 Vectors to solve problems

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Question 5

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

1.11.6 Vectors to solve problems Questions

A Level
Maths
1.11.6 Vectors to solve problems

67 exam-style questions on OCR (MEI) A Level Maths 1.11.6 Vectors to solve problems. Each one has a worked solution and a mark scheme showing where the marks go.