Chapter 9.CR, Problem 5CC

To determine

(a)

To define:

The vector space and its representation in a three-dimensional coordinate system.

To determine

(b)

To find:

The vector with initial point $\left(2,3,-1\right)$ and terminal point $\left(4,10,5\right)$.

To determine

(c)

To define:

The magnitude of $v=\langle a_1,a_2,a_3\rangle$ and to find the magnitude of $w=\langle 3,4,1\rangle$.

To determine

(d)

To define:

The vectors $i$, $j$, and $k$;and to express the vector $v=\langle 5,9,-1\rangle$ in terms of $i$, $j$, and $k$.