1)

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

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A) $S=(1-b^{2})P+bQ$

B) $S=(b-1)P+bQ$

C) $S=(1-b^{})P+bQ$

D) $S=(1-b)P+b^{2}Q$

Answer:

Option C

Explanation:

S=P+bR=P+b(Q-P)
= P(1-b)+bQ