2.3 Exercise 1

Three displacement vectors $\overset{\rightarrow}{A}$, $\overset{\rightarrow}{B}$, and $\overset{\rightarrow}{F}$ (the reference) are specified by their magnitudes A = 10.00, B = 7.00, and F = 20.00, respectively, and by their respective direction angles with the horizontal direction $\alpha = 35 °$, $\beta = −110 °$, and $\varphi = 110 °$. The physical units of the magnitudes are centimeters. Use the analytical method to find vector $\overset{\rightarrow}{G} = \overset{\rightarrow}{A} + 2 \overset{\rightarrow}{B} - \overset{\rightarrow}{F}$. Verify that
G = 28.15 cm and that $\theta_{G} = −68.65 °$.