1. Find the coordinate vector for each vector in the figure.
2. Using geometric vector addition, draw the vector sum $\vec{a} + \vec{b} + \vec{c}$. Then, verify your answer using vector addition operations.
• $\vec{a} + \vec{b} + \vec{c} =$ help (vectors)
3. Using geometric vector addition, draw the vector sum $2\vec{a} + 3\vec{b} - \vec{c}$. Then, verify your answer using vector addition and scaling operations.
• $2\vec{a} + 3\vec{b} - \vec{c} =$ help (vectors)
4. Find the vector sum $x_1 \vec{a} + x_2 \vec{b} + x_3 \vec{c}$ when $x_1 = -4$, $x_2 = 2$ and $x_3 = -1$. You should be able to do this both geometrically and algebraically.
• $x_1 \vec{a} + x_2\vec{b} + x_3 \vec{c} =$ help (vectors)
5. Find a vector $\vec{d}$ such that $\vec{a} + \vec{c} + \vec{d} = \vec{0}$. You should be able to do this both geometrically and algebraically.