evlyn
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"when does this calculation come up in physics, and with what slight modification?"
a' = [b x c]/[a*[(b x c)]], b' = [c x a]/[a*[(b x c)]], c' = [a x b]/a*[(b x c)]]
a* (b x c) does not equal 0 (* is dot product and (x) is cross product)
2. Homework Equations
Show that:
x'*y = delta_xy, where x, y E{a,b,c}
a' * (b'xc') = [1]/a*[(b x c)]]
a =[b' x c']/a'*[(b' x c')]]
3. I was able to show those relationships using Levi Civita but have no idea where I would use this
a' = [b x c]/[a*[(b x c)]], b' = [c x a]/[a*[(b x c)]], c' = [a x b]/a*[(b x c)]]
a* (b x c) does not equal 0 (* is dot product and (x) is cross product)
2. Homework Equations
Show that:
x'*y = delta_xy, where x, y E{a,b,c}
a' * (b'xc') = [1]/a*[(b x c)]]
a =[b' x c']/a'*[(b' x c')]]
3. I was able to show those relationships using Levi Civita but have no idea where I would use this