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1 Unit 1: Pure Mathematics A

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Question 355

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

a.

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

[3]
b.

Show that AB AB\,AB is perpendicular to BCBCBC.

[2]
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1 Unit 1: Pure Mathematics A Questions

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