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The moment of the force, vevF=4hati+5ha...

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

A

`-7hati-8hatj-4hatk`

B

`-4hati-hatj-8hatk`

C

`-8hati-4hatj-7hatk`

D

`-7hati-4hatj-8hatk`

Text Solution

Verified by Experts

The correct Answer is:
D
`vecF=4hati+5hatj-6hatk`
`vecr=(2hati+0hatj-3hatk)-(2hati-2hatj-2hatk)=0hati+2hatj-hatk`
`vec(tau)=vecrxxvecF=(2hatj-hatk)xx(4hati+5hatj-6hatk)`
`=|{:(hati,hatj,hatk),(0,2,-1),(4,5,-6):}| =-7hati-4hatj-8hatk`
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