Chapter 9.7, Problem 64AYU

To determine

To prove: $a=\frac{w\times u}{v\cdot \left(w\times u\right)},b=\frac{u\times v}{w\cdot \left(u\times v\right)},c=\frac{v\times w}{u\cdot \left(v\times w\right)}$ if $v,w,u$ and $a,b,c$ are the vectors with $a\cdot v=b\cdot w=c\cdot u=1$ and $a\cdot w=a\cdot u=b\cdot v=b\cdot w=c\cdot v=c\cdot w=0$.