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The moment of the force ,F = 4hati+5hatj...

The moment of the force ,`F = 4hati+5hatj-6hatK at (2,0-3) about the point (2,-2,-2), is given by

A

`-7hati-8hatj-4hatk`

B

`-6hati-hatj-8hatk`

C

`-8hati-4hatj-7hatk`

D

`-7hati-4hatj-8hatk`

Text Solution

Verified by Experts

The correct Answer is:
D

`hat tau=(hatr-hatr_(0))xxhatf" "(i)`
`hatr-hatr_(0)=(2hati+0hatj-3hatk)-(3hati-2hatj-2hatk)`
`=0hati+2hatj-hatk`
`hattau=|{:(hati,hatj,hatk),(0,2,-1),(4,5,-6):}|=-7hati-4hatj-8hatk`
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