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Find the torque of the force vec(F)=(2ha...

Find the torque of the force `vec(F)=(2hat(i)-3hat(j)+4hat(k))` N acting at the point `vec(r )=(3hat(i)-2hat(j)+3hat(k))`m about the origion.

A

`6hat(i)-6hat(j)+12hat(k)`

B

`17hat(i)-6hat(j)-13hat(k)`

C

`-6hat(i)+6hat(j)-12hat(k)`

D

`-17hat(i)+6hat(j)+13hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
B
`vectau = vecrxx vecF = |(hati, hatj, hatk), (3, 2, 3), (2, -3, 4)|`
`=[(2xx4)-(3xx3)]hat(i)+[(2xx3)-(3xx4)]hat(j)+[(3xx-3)-(2xx2)]hat(k)= 17hat(i)-6hat(j)-13hat(k)`
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