- #1
noir1993
- 33
- 16
Basically, we have to prove that A X B is equal to ABsinθ
Now a crucial step towards the proof is proving that
(AXB).(AXB) is equal to (AB)2 - (A.B)2
After that it is fairly simple. But unfortunately, I can not prove the identity. I've tried expanding it into components but things are becoming messy. Any idea on how to prove this identity (namely : (AXB).(AXB)= (AB)2 - (A.B)2 ) ?
Bold face indicates a Vector
Now a crucial step towards the proof is proving that
(AXB).(AXB) is equal to (AB)2 - (A.B)2
After that it is fairly simple. But unfortunately, I can not prove the identity. I've tried expanding it into components but things are becoming messy. Any idea on how to prove this identity (namely : (AXB).(AXB)= (AB)2 - (A.B)2 ) ?
Bold face indicates a Vector