Answer
(a) Magnitude = 63.9 $m^{2}$ in the - z direction.
(B) Magnitude = 63.9 $m^{2}$ in the z direction.
Work Step by Step
(a)
Given :
From the given Diagram
|A|= 8 m And |D|= 20 m
So, The angle Between A and D =∅ =90 +(90-53) = 120∘
Magnitude = |A×B|
= AB sin ∅
(a) Magnitude =8×10×sin(127)
=63.9 $m^{2}$
Therefore, By the right-hand rule, the direction is -z
(b)
D×A has the same magnitude but in the opposite direction (z) because of A×B= −D×A
