9. The scalar product





Suppose u and v are two nonzero vectors (in the plane or in space) with magnitudes u and v. Translate the two vectors such that they are tailtotail and denote the angle between them by . The scalar quantity
is called the scalar product (or dot product) of u and v. If one (or both) vectors are zero vectors then we define u · v = 0. Note that it does not matter which way round the angle is measured as cos(360°  ) = cos .


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