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**Unformatted text preview: **v = v w b w b . (1.19) This is a scalar, whose absolute value is the length of the vector projection, which is positive if proj w v is parallel to w and negative if it points in the opposite direction. Exercises for 1.4 Practice problems: 1. or each pair of vectors v and w below, Fnd their dot product, their lengths, the cosine of the angle between them, and the (vector) projection of each onto the direction of the other: (a) v = (2 , 3), w = (3 , 2) (b) v = (2 , 3), w = (3 , 2)...

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