Asked by larry
a) prove the identity:
Ax(BXC)=B(A*C)-C(A*B)
A,B,C vectors
x- cross product
*-dot product
b) use part a) to prove that cross product is not associative.
Ax(BXC)=B(A*C)-C(A*B)
A,B,C vectors
x- cross product
*-dot product
b) use part a) to prove that cross product is not associative.
Answers
Answered by
Steve
google vector triple product and you will find lots of proofs. One that is relatively straightforward is at
http://www.msci.memphis.edu/faculty/dwiggins/files/triplecross.htm
You already know that AxB = -BxA, so that will help in the part (b).
http://www.msci.memphis.edu/faculty/dwiggins/files/triplecross.htm
You already know that AxB = -BxA, so that will help in the part (b).
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