Chapter 5.1, Problem 23E

To determine

(a)

To find:

The dot product $u\cdot v$ for $u=\left(3,4\right)$, $v=\left(2,-3\right)$.

To determine

(b)

To find:

The dot product $v\cdot v$ for $v=\left(2,-3\right)$.

To determine

(c)

To find:

The value of ${\Vert u\Vert }^2$ for $u=\left(3,4\right)$.

To determine

(d)

To find:

The vector $\left(u\cdot v\right)v$ for $u=\left(3,4\right)$, $v=\left(2,-3\right)$.

To determine

(e)

To find:

The dot product $u\cdot \left(5v\right)$ for $u=\left(3,4\right)$, $v=\left(2,-3\right)$.