Chapter 5.1, Problem 29E

Finding Lengths, Unit Vectors, and Dot Products In Exercises 29-34, use a software program or a graphing utility to find $\left(a\right)$ the lengths of $u$ and $v$, $\left(b\right)$ a unit vector in the direction of $v$, $\left(c\right)$ a unit vector in the direction opposite that of $u$, $\left(d\right)$ $u\cdot v$, $\left(e\right)$ $u\cdot u$, and $\left(f\right)$ $v\cdot v$.

$u=\left(1,\frac{1}{8},\frac{2}{5}\right)$, $v=\left(0,\frac{1}{4},\frac{1}{5}\right)$