Chapter 11.3, Problem 10E

(a)

To determine

The value of $u\cdot v$ when $u=2i+j-2k\text{and}v=i-3j+2k$.

(b)

To determine

The value of $u\cdot u$ when $u=2i+j-2k\text{and}v=i-3j+2k$.

(c)

To determine

The value of _{${\Vert \text{v}\Vert }^2$} when $u=2i+j-2k\text{and}v=i-3j+2k$.

(d)

To determine

The value of _{$\left(u.v\right)v$} when $u=2i+j-2k\text{and}v=i-3j+2k$.

(e)

To determine

The value of _{$u\cdot \left(3v\right)$} when $u=2i+j-2k\text{and}v=i-3j+2k$.