(Solved): (11\%) Problem 2: Consider the three vectors shown in the figure. They have magnitudes \( |\mathrm{ ...

(11\%) Problem 2: Consider the three vectors shown in the figure. They have magnitudes \( |\mathrm{A}|=36, \mathrm{~B} \mid=9.5 \), and \( \mid \mathrm{C}=33.4 \), and the labeled angles are \( \theta_{\mathrm{A}}=40^{\circ}, \theta_{\mathrm{B}}= \) \( 20^{\circ} \), and \( \theta_{C}=15^{\circ} \). Note that the figure shows the definitions of the angles, but the arrows in the figure may not be to scale. 17\% Part (a) In what quadrant is the vector \( \mathrm{A}+\mathrm{B}+\mathrm{C} \) ? Q4 \( \sqrt{ } \) Corred: 217\% Part (b) What is the magnitude of the vector \( \mathrm{A}+\mathrm{B}+\mathrm{C} \) ? \( A+B+C=11.6 \checkmark \) Correct 17\% Part (c) What is the angle between the positive \( x \)-axis and the vector, measured clockwise in degrees? \( \theta_{1}=3039 \quad \sqrt{\text { Correct }} \) 17\% Part (d) In what quadrant is the vector \( -\mathrm{A}+2 \mathrm{~B}+\mathrm{C} \) ? Q3 \( \sqrt{ } \) Correct: \$. \( 17 \% \) Part (e) What is the magnitude of the vector \( -\mathrm{A}+2 \mathrm{~B}+\mathrm{C} \) ?