(Solved): Two forces are applied to a hook. Values for the figure are given in the following table. Note the ...

Two forces are applied to a hook. Values for the figure are given in the following table. Note the figure may not be to scale. d. Determine the coordinate direction angles of the resultant force ${\mathbf{F}}_R$ i. $\alpha$ ii. $\beta$ iii. $\gamma$ Round your final answers to 3 significant digits/figures. $\begin{array}{llll}{\overrightarrow{\mathbf{F}}}_1=(& \hat{i}+& \hat{j}+& \hat{k})\mathrm{lb}\\ {\overrightarrow{\mathbf{F}}}_2=(& \hat{i}+& \hat{j}+& \hat{k})\mathrm{lb}\\ {\overrightarrow{\mathbf{F}}}_R=(& \hat{i}+& \hat{j}+& \hat{k})\mathrm{lb}\\ F_R=(& )\mathrm{lb}& & \\ \alpha =(& \text{ ) degrees }& & \\ \beta =(& \text{ ) degrees }& & \end{array}$