(a)
Given:
is in xy plane and
is in the direction of k.
|a|=6 units, |b|=3 and θ = 90°
|a × b| = |a| × |b| sinθ
= |a| × |b| sin90°
= 6 × 3 × 1
|a × b| = 18
(b)
Let
is perpendicular to both
.
In this case,
x-component of
is positive.
y-component of
is negative.
z-component of
is zero.
A x B x C = 0
Where A and B are integers > 10
Any value multiplied by 0 = 0
Therefore C = 0
<span>It means perpendicular, <span>perpendicular lines (90° angle)</span></span><span />
Do 51 times 3 and you will get your answer