Answer
(a) $A$, $B$. See graph.
(b) $(2, 1)$ , $(4, 3)$. $\vec u=\langle 2, 2 \rangle$, $\vec v=\langle -3, 6 \rangle$. $2\vec u=\langle 4, 4 \rangle$, $\vec u+\vec v=\langle -1, 8 \rangle$.
Work Step by Step
(a) ... the vector $\vec u$ has initial point $A$ and terminal point $B$. See graph.
(b) ... the vector $\vec u$ has initial point $(2, 1)$ and terminal point $(4, 3)$. In component form we write $\vec u=\langle 2, 2 \rangle$, and $\vec v=\langle -3, 6 \rangle$. Then $2\vec u=\langle 4, 4 \rangle$, and $\vec u+\vec v=\langle -1, 8 \rangle$.
