Question F2.31: Determine the magnitudes of the components of the force F = ......

\mathbf{F}=56 \mathrm{~N}\left(\frac{3}{7} \mathbf{i}-\frac{6}{7} \mathbf{j}+{ }_{7}^{2} \mathbf{k}\right)

=\{24 \mathbf{i}-48 \mathbf{j}+16 \mathbf{k}\} \mathrm{N}

=46.86 \mathrm{~N}=46.9 \mathrm{~N}

\left(F_{A O}\right)_{\perp}=\sqrt{F^{2}-\left(F_{A O}\right)_{\|}}=\sqrt{(56)^{2}-(46.86)^{2}}

=30.7 \mathrm{~N}