Writing a Vector in Terms of i and j Using Initial and Terminal Points

Given initial point $P_{1} = (- 1, 3)$ and terminal point $P_{2} = (2, 7),$ write the vector $v$ in terms of $i$ and $j .$

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
Begin by writing the general form of the vector. Then replace the coordinates with the given values.

$\begin{array}{l} v = (x_{2} - x_{1}) i + (y_{2} - y_{1}) j \\ v = (2 - (- 1)) i + (7 - 3) j \\ = 3 i + 4 j \end{array}$

Your turn

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

Write the vector $u$ with initial point $P = (- 1, 6)$ and terminal point $Q = (7, - 5)$ in terms of $i$ and $j .$

How did it go?