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
⇒
⇒
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