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1.11 Vectors

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Question 66

The points $A$ , $B\,$ and $C\,$ have position vectors $a=i+2j\mathbf{a} = \mathbf{i} + 2\mathbf{j}$ , $b=5i+4j\mathbf{b} = 5\mathbf{i} + 4\mathbf{j}$ and $c=3i+8j\mathbf{c} = 3\mathbf{i} + 8\mathbf{j}$

Find $∣AB⃗∣\left|\vec{AB}\right|$ and $∣BC⃗∣\left|\vec{BC}\right|$ , giving your answers as surds in their simplest form.

[3]

Show that $AB\,$ is perpendicular to $B C$ .

[2]

Markscheme

1.11 Vectors Questions

A Level
Maths
1.11 Vectors

168 exam-style questions on OCR (MEI) A Level Maths 1.11 Vectors, covering 1.11.1 Language of vectors in two dimensions, 1.11.2 Add, subtract and scale vectors, 1.11.3 Magnitude and direction of a vector, 1.11.4 Position vectors, 1.11.5 Distance between points by position vectors, 1.11.6 Vectors to solve problems, 1.11.7 Language of vectors in three dimensions (A-level only), and 1.11 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

1.11 Vectors

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Question 66

Find $∣AB⃗∣\left|\vec{AB}\right|$ and $∣BC⃗∣\left|\vec{BC}\right|$ , giving your answers as surds in their simplest form.

[3]

Show that $AB\,$ is perpendicular to $B C$ .

[2]

Markscheme

1.11 Vectors Questions

A Level
Maths
1.11 Vectors