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1 Pure Mathematics

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Question 57

Given that the point P P\,P has position vector 5i+2j−4k5\mathbf{i} + 2\mathbf{j} - 4\mathbf{k}5i+2j−4k and the point Q Q\,Q has position vector −3i+j+6k-3\mathbf{i} + \mathbf{j} + 6\mathbf{k}−3i+j+6k

a.

Find the vector PQ⃗\vec{PQ}PQ​

[3]
b.

Find ∣PQ⃗∣|\vec{PQ}|∣PQ​∣

[3]

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