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Question

If a, b are the position vectors of A, B respectively, find the position vector of a point C in AB produced such that AC = 3 AB and that a point D in BA produced such that BD = 2 BA.

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Solution

given OA=a, OB=b
AC=3 AB and BD=2 BAto find : OC and OD
OCOA=3(OBOA)
OCa=3(ba)
OC=3b2a
podition vector of C=3b2a
BD=2BA
ODOB=2(OAOB)
ODb=2(ab)
OD=2ab
position vector of OD=2ab

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