Right - its value remains the same under a rotation of its...

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Right-hand-rule - This is the standard convention chosen when defining the cross product between two vectors. It states that i × j = k , instead of -k , even though both options are equally valid. Once this convention has been chosen, there is no longer any ambiguity about whether the cross product between two vectors points upwards or downwards. Rotational invariance - A vector quantity (such as the dot product or the cross product) is rotationally invariant if
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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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