A vector proof with reversed direction

A vector proof with reversed direction

5 marks
TGM Original
Non-parallel vectors a, b are given. Points P,Q,R have position vectors 2 a+3 b, - a+6 b, 4 a+ b, respectively. Prove they are collinear and determine their order and QP:PR.

Solution:

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Answer:\(Q,P,R\text{ in that order};\quad QP:PR=3:2\)

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