Changes

==Theorem==

==Theorem==

If either <math>\vec{q}_*, \vec{r}_*=\vec{0}</math>, then the identity we seek is certainly true, and if they are collinear, then one is a multiple of the other and the identity we seek follows from application of our first two identities.

If either <math>\vec{q}_*, \vec{r}_*=\vec{0}</math>, then the identity we seek is certainly true, and if they are collinear, then one is a multiple of the other and the identity we seek follows from application of our first two identities.

[[Image:Cross product plane.jpg|right|200px|thumb|We imagine <math>\vec{p}</math> sticking out of the screen towards the reader. You may need to enlarge this picture.]]

[[Image:Cross product plane.jpg|right|200px|thumb|We imagine <math>\vec{p}</math> sticking out of the screen towards the reader. You may need to enlarge this picture.]]

So, let us assume that <math>\vec{q}_*, \vec{r}_*</math> both have non-zero magnitude and are not collinear.  If we imagine <math>\vec{p}</math> sticking out of our computer monitors, pointing towards the reader, then the vectors in questions all look something like the picture on the right.

So, let us assume that <math>\vec{q}_*, \vec{r}_*</math> both have non-zero magnitude and are not collinear.  If we imagine <math>\vec{p}</math> sticking out of our computer monitors, pointing towards the reader, then the vectors in questions all look something like the picture on the right.

==Notes==

==Notes==

{{reflist}}

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[[category:Mathematics]]

[[Category:Mathematics]]