Halliday, Resnick & Walker — Vectors: Problem 31

31 In Fig. 3-25, a vector \(\vec{a}\) with a magnitude of 15.0 m is directed at angle \(\theta = 56.0^{\circ}\) counterclockwise from the \(+x\) axis. What are the components (a) \(a_x\) and (b) \(a_y\) of the vector? A second coordinate system is inclined by angle \(\theta' = 18.0^{\circ}\) with respect to the first. What are the components (c) \(a'_x\) and (d) \(a'_y\) in this primed coordinate system?