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I've been trying to find what the square of two cross products is and can't find it. Can anyone tell me the identity for
(A X B)^2 ?
(A X B)^2 ?
You don't usually talk about squaring a vector. So you have to tell us what that notation means or otherwise correct your question. It might mean any of these:I've been trying to find what the square of two cross products is and can't find it. Can anyone tell me the identity for
(A X B)^2 ?
The notation is exactly as I posted it. My homework has two vectors, V1 and V2. The part I'm trying to work with says (V1 X V2)^2. I worked through (V1 X V2) dot (V1 X V2) and (V1 X V2) x (V1 X V2). The result is zero in either case for this problem, but will that always be the case?You don't usually talk about squaring a vector. So you have to tell us what that notation means or otherwise correct your question. It might mean any of these:
|A x B|^{2}
(A x B) dot (A x B)
(A x B) x (A x B)
or something else.
That's not the point. You need to know what that notation means before it makes sense to calculate it. Answer this:The notation is exactly as I posted it. My homework has two vectors, V1 and V2. The part I'm trying to work with says (V1 X V2)^2. I worked through (V1 X V2) dot (V1 X V2) and (V1 X V2) x (V1 X V2). The result is zero in either case for this problem, but will that always be the case?
The first two of these are the sameYou don't usually talk about squaring a vector. So you have to tell us what that notation means or otherwise correct your question. It might mean any of these:
|A x B|^{2}
(A x B) dot (A x B)
True but probably not what was meant- especially since it is trivial.(A x B) x (A x B)
Assuming that "[itex]A^2[/itex]" for A a vector really means "(length of A) squared"or something else.