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Find the torque of a force vec(F)=-3hat(...

Find the torque of a force `vec(F)=-3hat(i)+hat(j)+5hat(k)` acting at the point `vec(R)=7hat(i)+3hat(j)+hat(k)`.

A

`14hat(i)+38hat(j)+16hat(k)`

B

`14hat(i)+38hat(j)-16hat(k)`

C

`14hat(i)-38hat(j)+16hat(k)`

D

`14hat(i)-38hat(j)-16hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
C
`vec(tau)=vec(r)xxvec(F)=|(hati,hatj,hatk),(7,3,1),(-3,1,5)|=14hat(i)-38hat(j)+16hat(k)`
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