Answer:
The work done is 56 joules.
Step-by-step explanation:
The work done by a force is defined to be the product of the component of the force along [tex]\vec{D}[/tex] and the distance moved:
[tex]W=\vec{F}\cdot \vec{D}[/tex]
For our case the displacement vector is
[tex]\vec{D}=\langle -6,7,2\rangle- \langle 6,0,-10\rangle\\\vec{D}=\langle -12,7,12\rangle[/tex]
And the work done is
[tex]W=\langle 6,8,6\rangle \cdot\langle -12,7,12\rangle\\W=6\left(-12\right)+8\cdot \:7+6\cdot \:12\\W=56[/tex]
If the unit of length is meters and the magnitude of the force is measured in newtons,then the work done is 56 joules.
