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The points with position vectors 10hati+...

The points with position vectors `10hati+3hatj,12hati-5hatj and ahati+11hatj` are collinear, if a is equal to

A

`-8`

B

4

C

8

D

12

Text Solution

Verified by Experts

The correct Answer is:
C
If given be A,B and C, then `AB=k(BC)` or
`2hati-8hatj=k[(a-12)hati+16hatj]`
`implies k=-(1)/(2)`
also, `2=k(a-12)`
`implies a=8`
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