(Solved): 5. Geometric Vector Manipulation For the vectors given in the figure below, use a graphical method ...

5. Geometric Vector Manipulation For the vectors given in the figure below, use a graphical method (use ruler and protractor to earn full credit) to find the following resultants and double check your work using algebraic expressions for the vectors. \[ \begin{array}{l} \vec{A}=8.66 \hat{i}+5.00 \hat{j}, \vec{B}=3.01 \hat{x}+3.99 \hat{j} \\ \vec{C}=6.00 \hat{i}-10.4 \hat{j}, \vec{D}=-16.0 \hat{i}+12.0 \hat{j} \\ \vec{F}=-17.3 \hat{i}-10.0 \hat{j} \end{array} \] a. \( \vec{A}+\vec{B} \) b. \( \vec{C}+\vec{B} \) c. \( \vec{D}-\vec{F} \) d. \( \vec{C}-2 \vec{D}+3 \vec{F} \)