1.

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

Answer»

`-7hati-4hatj-8hatk`
`-8hati-4hatj-7hatk`
`-7hati-8hatj-4hatk`
`-4hati-HATJ-8hatk`

Solution :`vecF=4hati+5hatj-6hatk`
`VECR=(2,0,-3)-(2,-2,-2)=(0,2,-1)`
`THEREFORE vectau=vecrxxvecF`
`=(0,2,-1)xx(4,5,-6)`
`=|(hati,hatj,hatk),(0,2,-1),(4,5,-6)|`
`=hati(-12+5)-hatj(4)-hatk(-8)`
`=-7hati-4hatj-8hatk`


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