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Question

If a and b are the position vectors of A and B respectively, then find the position vector of point C in BA produced such that BC=1.5BA.

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Solution

Since,OA and OB=b BA=OAOB=aband 1.5BA=1.5(ab)Since, BC=1.5a1.5bOCOB=1.5a0.5bOC=1.5a0.5b+b [ OB=b] =1.5a0.5b =3ab2

Graphically, explanation of the above solution is given below


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