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The points with position vectors 60hati+...

The points with position vectors `60hati+3hatj,40hati-8hatj, 40hati-8hatj,ahati-52hatj` are collinear iff (A) `a=-40` (B) `a=40` (C) `a=20` (D) none of these

A

`-40`

B

`40`

C

20

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
The three points are collinear if
`|(60,3,1),(40,-8,1),(a,-52,1)|=0`
`implies60(-8+52)-3(40-a)+(-2080+8a)=0`
`implies2640-120+3a-2080+8a=0`
`impliesa=-40`
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