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What is the torque of the force vecF=3ha...

What is the torque of the force `vecF=3hati-2hatj+4hatk` acting at a point `vecr=2hati+3hatj+5hatk` about the origin?

Text Solution

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`vecr=2veci+3vecj+5veck`
`vecF=3veci-2vecj+4veck`
`vectau=|{:(veci,vecj,veck),(2,3,5),(3,-2,4):}|`
`=veci(12+10)-vecj(8-15)+veck(-4-6)`
`=22veci-7vecj-10veck`
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