Example 2 from Algebra and Trigonometry, 10.8 Vectors

Drawing a Vector with the Given Criteria and Its Equivalent Position Vector

Find the position vector given that vector $v$ has an initial point at $(- 3, 2)$ and a terminal point at $(4, 5),$ then graph both vectors in the same plane.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
The position vector is found using the following calculation:

$\begin{array}{l} v = 〈 4 - (- 3), 5 - 2 〉 \\ = 〈 7, 3 〉 \end{array}$
Thus, the position vector begins at $(0, 0)$ and terminates at $(7, 3) .$ See Figure 4.

Figure 4

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Draw a vector $v$ that connects from the origin to the point $(3, 5) .$

How did it go?

Solution

Your turn

Solution

Your turn