- #1
radonballoon
- 21
- 0
Ok, so I'm really at a loss as to how to do this. I can prove the formula by just using determinants, but I don't really know how to do manipulations with the levi-civita symbol.
Here's what I have so far:
[tex]
(\vec{B} \times \vec{C})_{i} = \epsilon_{ijk}(B_{j}C_{k})\vec{e_{i}}
[/tex]
And I'm trying to get to:
[tex]
\vec{A} \times (\vec{B} \times \vec{C}) = B(A \bullet C) - C(A \bullet B)
[/tex]
Does anyone have any suggestions?
Thanks
Here's what I have so far:
[tex]
(\vec{B} \times \vec{C})_{i} = \epsilon_{ijk}(B_{j}C_{k})\vec{e_{i}}
[/tex]
And I'm trying to get to:
[tex]
\vec{A} \times (\vec{B} \times \vec{C}) = B(A \bullet C) - C(A \bullet B)
[/tex]
Does anyone have any suggestions?
Thanks