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1.13 J: Vectors

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Question 30

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

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

Find $p$

[2]

Point $D\,$ has position vector $(1q)\begin{pmatrix} 1 \\ q \end{pmatrix}$ and angle $90^{\circ}$

Determine the value of $q$ .

[3]

Markscheme

1.13 J: Vectors Questions

A Level
Maths
1.13 J: Vectors

168 exam-style questions on AQA A Level Maths 1.13 J: Vectors, covering 1.13.1 Vectors in two and three dimensions, 1.13.2 Magnitude and direction of a vector, 1.13.3 Vector arithmetic, 1.13.4 Position vectors, and 1.13.5 Vectors to solve problems. Each one has a worked solution and a mark scheme showing where the marks go.

1.13 J: Vectors

Question bank

1.13 J: Vectors

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Question 30

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

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

Find $p$

[2]

Point $D\,$ has position vector $(1q)\begin{pmatrix} 1 \\ q \end{pmatrix}$ and angle $90^{\circ}$

Determine the value of $q$ .

[3]

Markscheme

1.13 J: Vectors Questions

A Level
Maths
1.13 J: Vectors