Three coplanar forces of magnitudes $15{\text{ }}N$, $12{\text{ }}N$ and $12{\text{ }}N$ act at a point $A$ in directions as shown in the diagram.
a) Find the component of the resultant of the three forces
(i) in the direction of $AB$,
(ii) perpendicular to $AB$.
b) Hence find the magnitude and direction of the resultant of the three forces.

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