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Question

If a and b are postion vectors of A and B respectively, then the position vector of a point C in AB produced such thatAC=3AB is:

A
3ab
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B
3ba
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C
3a2b
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D
3b2a
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Solution

The correct option is A 3b2a
AC=3AB

OCOA=3(OBOA)

OCOA=3OB3OAOC=3OB2OAOC=3ba

Therefore, position vector of point C is 3b2a

Hence, option D is the correct answer.

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