Question
The magnitude of the scalar product of vectors A and B is three times as large as the magnitude of the vector product of the same two vectors. If they were placed tail-to-tail in space, A and B would form an angle of approximately how much?
Answers
The magnitude of AxB is C=|A||B|sinθ
while the magnitude of A.B is
D=|A||B|cosθ
So if
D/C=3 => cotθ=3
Solve for θ
while the magnitude of A.B is
D=|A||B|cosθ
So if
D/C=3 => cotθ=3
Solve for θ
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