Find the Work Done by a Force $\mathbf { F } = \mathbf { i } + 5 \mathbf { j } + 7 \mathbf { k }$

Multiple Choice

Find the work done by a force $\mathbf { F } = \mathbf { i } + 5 \mathbf { j } + 7 \mathbf { k }$ that moves an object from the point $( 3,0,5 )$ to the point $( 7,5,10 )$ along a straight line. The distance is measured in meters and the force in newtons.

A) $64 \mathrm {~J}$
B) $74 \mathrm {~J}$
C) $84 \mathrm {~J}$
D) $94 \mathrm {~J}$
E) $104 \mathrm {~J}$