The points with position vectors 60i+3j,40i−8j and ai−52j are collinear if
A
a=−40
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B
a=40
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C
a=20
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D
None of these
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Solution
The correct option is Ba=−40 Denoting a,b,c by the given vectors respectively These vectors will be collinear if there is some constant k such that c−a=K(b−a) ⇒a−60=−20K and −55=−11K ⇒a=−100+60=−40