Question

Determine the workdone by a force F= xyi cap +yzj cap + xz k cap in taking a particle along the path defined by the equation r

Answer 1

To be given in question

Force F= xy (i)+yz(j)+xz (k)

To be asked in question

Work done=?

We know that

$W=\smallint f. dr$

Put given value

=$\smallint$ (xy (i) +yz (j)+xz (k))$.$ (dx(i)+dy (j) +dz (k) )

W = (X²Y +Y²Z +Z²X)/ 2