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Unformatted text preview: its value remains the same under a rotation of its input vectors. Both the dot product and the cross product are rotationally invariant, while vector addition and scalar multiplication, in general, are not. Scalar  An ordinary number; whereas vectors have direction and magnitude, scalars have only magnitude. The scalars we will be dealing with will all be real numbers, but other kinds of numbers can also be scalars. 5 miles represents a scalar....
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 Fall '09
 

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