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Question
The points with position vectors 60i+3j,40i−8j and ai−52j are collinear if
The points with position vectors 60i+3j,40i−8j and ai−52j are collinear if
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Solution
The correct option is B a=−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
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
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