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The cross product is only defined for vectors in three dimensions. For three
dimensional vectors u and v that are specified by a magnitude and direction, the cross
product uv is the vector defined as follows.
1.
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3.1 Dot Products
The dot product of two vectors u and v is a number and it is denoted by u . v. First
consider the case where the two vectors u and v are specified by a magnitude and direction. In
that case the dot product is defined by
u . v = (magnitude