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Question

The points with position vectors 60i+3j, 40i−8j and ai−74j are collinear, if a is equal to:

A
80
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B
40
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C
20
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D
None of these
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Solution

The correct option is C 80
Given points are 60i+3j , 40i8j and ai74j
Let the points be A,B,C in order
For it to be collinear , the line BA and CA must be parallel
So we have BA=20i11j and CA=(a60)i77j
Since they are parallel , we get a6020=7711
a60=140
a=80
Therefore, option A is correct

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