Vector Triple Product, Alternating Tensor

**Ackbeet** · March 9th 2011, 11:58 AM

It's a vector triple product:

$\mathbf{r}\cdot(\mathbf{\Phi}\times\mathbf{r}).$

And what do you know about $\mathbf{r}$ relative to $\mathbf{\Phi}\times\mathbf{r}?$

What does that tell you about the dot product in the vector triple product?

**craig** · March 9th 2011, 12:17 PM

That they're orthogonal vectors?

**Ackbeet** · March 9th 2011, 12:18 PM

Correct! So the dot product is...

**craig** · March 9th 2011, 12:20 PM

Zero!

Haha honestly thank you so much for the help with this, I really appreciate it.

Think I'll just leave the second bit for now.....

Thanks again!

**Ackbeet** · March 9th 2011, 12:25 PM

You're welcome!

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