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A force of (-3hat(i)-hat(j)+2hat(k)) N d...

A force of `(-3hat(i)-hat(j)+2hat(k))` N displaced the body from a point (4, -3, -5) m to a point (-1, 4, 3) m in a staight line. Find the work done by the force.

Text Solution

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`vec(A)=(4hat(i)-3hat(j)-5hat(k)),vec(B)=-hat(i)+4hat(j)+3hat(k)`
`vec(AB)=vec(B)-vec(A)=(-5hat(i)+7hat(j)+8hat(k))`
`W=vec(F).vec(AB)=(-3hat(i)-hat(j)+2hat(k)).(-5hat(i)+7hat(j)+8hat(k))=24"joule"`.
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