Question

Let v be the vector from initial point P1=(−4,−9) to terminal point P2=(6,2). Write v in terms of i and j.

Answer 1

Step 1;

P1 = ( - 4 , -9 )

P2 = ( 6 , 2 )

Step 2:

`\begin{gathered} \text{Let P}_1=(x_1,y_1)_{} \\ P_2=(x_2,y_2\text{ ) } \end{gathered}`

Step 3:

`\text{v = (x}_2-x_1)i+_{}(y_2-y_1\text{ ) j}`

Step 4:

`\begin{gathered} \text{v = (x}_2-x_1)i+_{}(y_2-y_1\text{ ) j} \\ \text{v = (6}-(-4))i+_{}(2-(-9)\text{) j} \\ v\text{ = (6+4)i + (2 + 9)j} \\ v\text{ = 10i + 11 j} \end{gathered}`