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A particle moves from position vector ve...

A particle moves from position vector `vecr_(1)=(3hati+2hatj-6hatk)` to position vector `vecr_(2)=(6hati-7hatk)` in (metre) under the action of a constant force of `vecF=(2hati+3hatj+4hatk)`. Calculate work done by the force.

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The correct Answer is:
4
`vecr_(1)=3hati+2hatj-6hatk, vecr_(2)=6hati-7hatk, vecF=2hati+3hatj+4hatk`,
Displacement `vecr_(12)=vecr_(2)-vecr_(1)=3hati-2hatj-hatk`
`W=vecF.vecr_(12)=(2hati+3hatj+4hatk).(3hati-2hatj-hatk)=6hati.hati-6hatj.hatj-4hatk.hatk=4J`
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