Answer
(a) The magnitude will be 4.61 in -z Direction
(b) The magnitude will be 4.61 in + Direction
Work Step by Step
(a)
Given :
From the given Diagram
|A|= 2.80 cm And |B|= 1.90 cm
So, The angle Between A and B =∅ = 60 +60 = $120 ^{\circ}$
Magnitude = $ |A \times B| $
= AB sin ∅
(a) Magnitude =$ 2.80 \times 1.90 sin 120$
=$4.61cm^{2}$
Therefore , By the right hand rule the direction is -z
(b)
$B \times A$ has the same magnitude but in the opposite direction (z) because of $A \times B$= $ -B \times A$
