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Q.

Three vectors P→,Q→ and R→ are shown in the figure. Let S be any point on the vector R→. The distance between the points P and S is bR→ . The general relation among vectors P→,Q→ and S→ is

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a

S→=1−b2P→+bQ→

b

S→=b−1P→+bQ→

c

S→=1−bP→+bQ→

d

S→=1−bP→+b2Q→

answer is C.

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Detailed Solution

S→+(1−b)R→=Q→⇒S→+(1−b)(Q→−P→)=Q→⇒S→=Q→(1−1+b)+(1−b)P→⇒S→=(1−b)P→+bQ→
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