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Find the value of lamda such that the ve...

Find the value of `lamda` such that the vectors `veca=2hati+lamdahatj+hatkandvecb=hati+2hatj+3hatk` are orthogonal.

A

0

B

1

C

`(3)/(2)`

D

`(-5)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Since, two non-zero vectors `vecaandvecb` are orthogonal i.e., `veca.vecb=0`.
`:.(2i+lamdahati+hatk).(hati+2hatj+3hatk)=0`
`implies2+2lamda+3=0`
`:.lamda=(-5)/(2)`
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