Vectors Cross Product?

2 ⤊

Vectors Cross Product?

If f, g, & h are vectors and if,

f x g = h x g, does it follow that f = h? why or why not??

Thanks for your help...

2007-09-02 11:55:13 · 3 answers · asked by faisal.siddiqui 1 in Science & Mathematics ➔ Mathematics

3 answers

Think of it in normal numbers

fg = hg
Therefore fg - hg = 0
Therefore (f - h)g = 0
If g = 0, then f - h doesn't have to be 0, so f doesn't have to equal h.

2007-09-02 12:21:39 · answer #1 · answered by Tom :: Athier than Thou 6 · 0⤊ 0⤋

Yes.

If fg=hg
then (fg)/g=(hg)/g
equals f=h

True!

2007-09-02 19:02:53 · answer #2 · answered by Anonymous · 0⤊ 2⤋

no. all you can say is that

(f-h) X g = 0
which says that (f-h) is parallel to g, or, of course, 0.

2007-09-02 19:15:49 · answer #3 · answered by holdm 7 · 2⤊ 0⤋