Question

Let v be the vector from initial point P1 to terminal point P2. Write v in terms of i and j.

Answer 1

ANSWER:

$5i-17j$

STEP-BY-STEP EXPLANATION:

Given:

P1 (-9, 9)

P2 (-4, -8)

We can calculate the vector as follows:

$\begin{gathered} v=P_2-P_1 \\ v=\mleft(x_2-x_1,y_2-y_1\mright) \end{gathered}$

We replacing:

$\begin{gathered} v=(-4-(-9),-8-9) \\ v=(-4+9,-17) \\ v=(5,-17) \\ \text{ therefore, in terms of i and j:} \\ v=5i-17j \end{gathered}$