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Find the torque of a force vecF=-3hati+2...

Find the torque of a force `vecF=-3hati+2hatj+hatk` acting at the point `vecr=8hati+2hatj+3hatk` about origin

A

`14hati--38hatj+16hatk`

B

`4hati+4hatj+6hatk`

C

`-14hati+38hatj-16hatk`

D

`-4hati+17hatj-22hatk`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) Torque of the force ,`t=rxxF`
`"So" ,t=|underset(-3" "2" "1)overset(" "hati" "hatj" "hatk)underset( " "8" "2" "3)""|`
`=hati (2-6) -hatj (8+9)+hatk(16+6)`
`=-4hati-17hatj+22hatk`
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