Let v and w be vectors in the plane. (a) Use Theorem 2 to explain why the

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Let v and w be vectors in the plane.
(a) Use Theorem 2 to explain why the dot product v · w does not change if both v and w are rotated by the same angle θ.

THEOREM 2 Dot Product and the Angle Let 9 be the angle between two nonzero vectors v and w. Then vw |v||||w||

=), and determine the vectors e, e obtained by rotating (b) Sketch the vectors e = (1, 0) and e = e,e through

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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