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1 Pure Mathematics

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Question 68

Given that the point P P\,P has position vector 4i+5j−k4\mathbf{i} + 5\mathbf{j} - \mathbf{k}4i+5j−k and the point Q Q\,Q has position vector −2i+3j+5k-2\mathbf{i} + 3\mathbf{j} + 5\mathbf{k}−2i+3j+5k

a.

Find the vector PQ⃗\vec{PQ}PQ​

[3]
b.

Find ∣PQ⃗∣|\vec{PQ}|∣PQ​∣

[3]

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