Given the following, vec$(u)=[3,-1,4],$vec$(v)=[6,-4,-8],$ and vec$(w)=[7,-3,4].$

Are the vectors vec$(u),$vec$(v),$ and vec$(w)$ coplanar?

$[4$T$]$

PART D $-$ Application

$23.$ Given the points $A(-5,1,3),B(2,7,-1),$ and $C(5,5,6).$ Determine the area of $\frac{?}{{?}_{\frac{?}{?}}\text{A}\text{B}\text{C}}.$

$[4$A$]$

$24.$ A $60$ N force is being applied in clockwise direction to the handle of a wrench at $55,25cm$ from the centre of the bolt. Calculate the magnitude of the torque. Draw a diagram to support your answer.

$[3$A$]$