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If the position vectors of A,B,C and D a...

If the position vectors of A,B,C and D are
`2hati+hatj,hati-3hatj,3hati+2hatj and hati+lamda hatj` respectively and `vec(AB)||vec(CD)`. Then `lamda` will be

A

`-8`

B

`-6`

C

8

D

6

Text Solution

Verified by Experts

The correct Answer is:
B
`AB=-hati-4hatj,CD=-2hati+(lamda-2)hatj`
`because AB||CD`
So, `(-1)/(-2)=(-4)/(lamda-2)implies lamda-2=-8`
`implies lamda=-6`
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