2 questions related to mathematical vectors

[AmrAmin]

I hope I can find a solutions for those questions with your help.

1. If you know that: A=(5,-4,3) B=(2,3,-1) C=(-3,2,5) .Find the volume of the prism whose sides are $$\underline{OA}$$, $$\underline{OB}$$, $$\underline{OC}$$ .

2. Prove using vector components that:

$$\underline{a}$$ $$\times$$ $$\left($$$$\underline{b}$$ $$\times$$ $$\underline{c}$$) = ($$\underline{a}$$ . $$\underline{c}$$)$$\underline{b}$$ - ($$\underline{a}$$ . $$\underline{b}$$)$$\underline{c}$$
and using this rule prove that :

$$\underline{a}$$ $$\times$$ ($$\underline{b}$$ $$\times$$ $$\underline{c}$$) + $$\underline{b}$$ $$\times$$ ($$\underline{c}$$ $$\times$$ $$\underline{a}$$) + $$\underline{c}$$ $$\times$$ ($$\underline{a}$$ x $$\underline{b}$$) = 0

 

[chaoseverlasting]

Well? You want to give us some ideas about where you're stuck? We're not going to do it for you. We're here to help you along.