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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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ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
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  8. Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...

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  11. In the figure, a vectors x satisfies the equation x-w=v. then, x is eq...

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  12. Vectors veca = hati+2hatj+3hatk, vec b = 2hati-hatj+hatk and vecc= 3ha...

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