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Question

P,Q have position vectors a & b relative to the origin 'O' and X,Y divide PQ intermally and extemally respectively in the ratio 2:1, then vector XY=

A
32(ba)
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B
43(ca)
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C
56(ba)
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D
43(ba)
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Solution

The correct option is D 43(ba)
X divides PQ internally in 2:1. Thus, X=a+2b2+1
Y divides PQ externally in 2:1. Thus, Y=2ba21
X=a+2b3 and Y=2ba
XY=YX=6b3aa2b3
XY=4b4a3

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