If and
are unit vectors such that
is a unit vector, what is the angle between
and
?
It is given that are unit vectors ,as well as
is also a unit vector
⇒|| = |
| = |
| = 1
Since the modulus of a unit vector is unity.
Now,
||2 = |
|2 + |
|2 + 2|
||
|cosθ
⇒12 = 12 + 12 + 2×1×1× cosθ
⇒ cosθ = (1 - 1 - 1)/2
⇒
⇒
Ans: