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Q.

A point C with position vector 3a+4b-5c3 (where a, b and c are non coplanar vectors) divides  the  line  joining A and B in the ratio 2 : 1. If the position vector of A is a-2b+3c, then the position vector of B is

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a

2a + 3b- 4c

b

2a - 3b+ 4c

c

2a + 3b+ 4c

d

a + 3b- 4c

answer is D.

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Detailed Solution

2(OB)+a-2b+3c3=3a+4b-5c3 OB=2a+6b-8c2

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