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1.9 Vectors

Question 7

The points $A\,$ and $B\,$ have position vectors $(23)\begin{pmatrix} 2 \\ 3 \end{pmatrix}$ and $(4−1)\begin{pmatrix} 4 \\ -1 \end{pmatrix}$ respectively.

The point $C\,$ has position vector $(1p)\begin{pmatrix} 1 \\ p \end{pmatrix}$ , and $ABC\,$ is a straight line. Find $p$ .

[2]

The point $D\,$ has position vector $(1q)\begin{pmatrix} 1 \\ q \end{pmatrix}$ , and angle $A B D = 90°$ . Determine the value of $q$ .

[3]

Markscheme

1.9 Vectors Questions

A Level
Maths
1.9 Vectors

37 exam-style questions on WJEC A Level Maths 1.9 Vectors, covering 1.9.1 Vectors, 1.9.2 Vectors, 1.9.3 Vectors, 1.9.4 Vectors, and 1.9 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

1.9 Vectors

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1.9 Vectors

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Question 7

The points $A\,$ and $B\,$ have position vectors $(23)\begin{pmatrix} 2 \\ 3 \end{pmatrix}$ and $(4−1)\begin{pmatrix} 4 \\ -1 \end{pmatrix}$ respectively.

The point $C\,$ has position vector $(1p)\begin{pmatrix} 1 \\ p \end{pmatrix}$ , and $ABC\,$ is a straight line. Find $p$ .

[2]

The point $D\,$ has position vector $(1q)\begin{pmatrix} 1 \\ q \end{pmatrix}$ , and angle $A B D = 90°$ . Determine the value of $q$ .

[3]

Markscheme

1.9 Vectors Questions

A Level
Maths
1.9 Vectors