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1 Unit 1: Pure Mathematics A

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Question 335

The points A A\,A and B B\,B have position vectors a=3i−4j\mathbf{a} = 3\mathbf{i} - 4\mathbf{j}a=3i−4j and b=−2i−7j\mathbf{b} = -2\mathbf{i} - 7\mathbf{j}b=−2i−7j.

The point P P\,P divides AB AB\,AB internally in the ratio AP:PB=2:5AP : PB = 2 : 5AP:PB=2:5.

a.

Find AB⃗\vec{AB}AB.

[2]
b.

Find the position vector of PPP.

[3]
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1 Unit 1: Pure Mathematics A Questions

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