3 Two forces of magnitudes 8 N and 12 N act at a point \(O\).
- Given that the two forces are perpendicular to each other, find
(a) the angle between the resultant and the 12 N force,
(b) the magnitude of the resultant. - It is given instead that the resultant of the two forces has magnitude \(R \mathrm {~N}\) and acts in a direction perpendicular to the 8 N force (see diagram).
\includegraphics[max width=\textwidth, alt={}, center]{b7f05d10-9d3c-4098-846d-ca6511c75c5d-2_248_388_1877_826}
(a) Calculate the angle between the resultant and the 12 N force.
(b) Find \(R\).