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A force F =(6hati +2hatj -3hatk)acts on ...

A force `F =(6hati +2hatj -3hatk)`acts on a particle and produces a displacement of `vecs = (2hati-3hatj+xhatk)`. If work done is zero, the value of x is 

A

`-2`

B

`1/2`

C

`6`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
D
`W = vecF. Vecs = (6 hati + 2 hatj - 3hatk).(2 hati - 3 hati + xhatk)`
`= 12 - 6 - 3x`
As W = 0 (Given)
`:.` 12 - 6 - 3x = 0 or x = 2`.
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