Asked by Anonymous
If u is a unit vector, prove that u · u = 1
Answers
Answered by
Reiny
by definition:
u · u = |u| |u|cosØ, where Ø is the angle between u and u
but that angle is 0° and |u| = 1
so u · u = |u| |u|cosØ = (1)(1)cos0 = (1)(1)(1) = 1
u · u = |u| |u|cosØ, where Ø is the angle between u and u
but that angle is 0° and |u| = 1
so u · u = |u| |u|cosØ = (1)(1)cos0 = (1)(1)(1) = 1
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