Let v and w be vectors in the plane. (a) UseTheorem 2 to explain why the dot product v w
Chapter 12, Problem 72(choose chapter or problem)
Let v and w be vectors in the plane. (a) UseTheorem 2 to explain why the dot product v w does not change if both v and w are rotated by the same angle . (b) Sketch the vectors e1 = 1, 0 and e2 = 2 2 , 2 2 , and determine the vectors e 1, e 2 obtained by rotating e1, e2 through an angle 4 . Verify that e1 e2 = e 1 e 2.
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