Question

Let v be the vector from initial point P1 to terminal point P2. Write v in terms of i and j.P1 = (-1, 6); P2 = (-6, 4)Group of answer choicesv = -5i - 2jv = 5i - 12jv = -2i - 5jv = -12i + 5j

Answer 1

We need to write the vector v in terms of i and j.

In order to do so, we can start by writing its initial and terminal points in terms of i and j:

`\begin{gathered} P_1=(-1,6)=-i+6j \\ \\ P_2=(-6,4)=-6i+4j \end{gathered}`

Thus, the vector v (terminal point minus initial point) is given by:

`\begin{gathered} v=P_2-P_1 \\ \\ v=-6i+4i-(-i+6j) \\ \\ v=-6i+4i+i-6j \\ \\ v=-5i-2j \end{gathered}`

Therefore, the answer is:

`v=-5i-2j`