- #1
nomadreid
Gold Member
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- TL;DR Summary
- The two definitions of the magnitude ||u x v|| of a cross product, one via coordinates, and the other with uv.sin A, are obviously equivalent, but my brute-force attempt hits a snag.
In order to prove that two of the means to calculate the magnitude of an arbitrary cross product are equivalent, I tried a direct approach, which I outline below. Any hint as to where I am going wrong would be appreciated.
So I hope this is the right section-- although this may look like HW, it isn't. It is my own fumbling.
Then
Then,
Alas, this doesn't come out. What am I doing wrong? Some silly mistake, no doubt, but I would be very grateful to have it pointed out.
So I hope this is the right section-- although this may look like HW, it isn't. It is my own fumbling.
Then
Then,
Alas, this doesn't come out. What am I doing wrong? Some silly mistake, no doubt, but I would be very grateful to have it pointed out.
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