Chapter 8 - Polar Coordinates; Vectors - Section 8.4 Vectors - 8.4 Assess Your Understanding - Page 626: 27

$3i+4j$ and the position vector is: $(3,4)$

If a vector $v$ initiates at point $A(x_1,y_1)$ and terminates at $B(x_2,y_2)$, then $v =\lt x_2-x_1, y_2-y_1 \gt =(x_2-x_1)i+(y_2-y_1) \ j$ Here, we have: $A=(0,0)$ and $B=(3,4)$ Therefore, $v=(3-0)i+(4-0) \ j =3i+4j$ and the position vector is: $(3,4)$