The components of the resultant will be: (18, 12)
In order to find the magnitude you have to apply the Pythagorean theorem:
√(18² + 12²) = √468 = 21.6
Therefore, the magnitude of the resultant vector is 21.6
The direction is given by the formula:
α = tan⁻¹(v_y / v_x)
= tan⁻¹(12/18)
= 33.7°
Therefore, the direction will be 33.7° from the x-axis.
