Do a barrel roll 999999999999999
Do a barrel roll 999999999999999. This kills the term uxvy - uyvx in the cross product formula regardless of the values vx and vy. Geometrically this makes sense: the cross product should be perpendicular to both inputs, and to be perpendicular to 0,0,1 the z-component must be zero. To comment go to liveBook 114 MINI PROJECT Show algebraically that u × v is perpendicular to both u and v regardless of the coordinates of u and v.
After we expand the dot product, we see that there are 6 terms. Each of these cancels out with one of the others. Since all of the terms cancel out, the result is zero.
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