Chapter 9.5, Problem 37E

(a)

To determine

To evaluate: The value of sir different order triple products $u\cdot \left(v\times w\right)$, $u\cdot \left(w\times v\right)$, $v\cdot \left(u\times w\right)$, $v\cdot \left(w\times u\right)$, $w\cdot \left(u\times v\right)$ and $w\cdot \left(v\times u\right)$ for the vectors $u=\langle 0,1,1\rangle$, $v=\langle 1,0,1\rangle$ and $w=\langle 1,1,0\rangle$.

(b)

To determine

The conjecture about the above six different order triple products.

(c)

To determine

To Prove: The conjecture made in part (b).