Problem

The key is to decompose each vector into its $x$ and $y$ components using the given angles, then add the components separately. Since both vectors have the same magnitude but point in different directions, their components will combine in a way that determines both the magnitude and direction of the resultant. Think of it as finding where two forces point when resolved along perpendicular axes—the final answer emerges from vector addition in component form.

The key is to decompose each vector into its $x$ and $y$ components using the given angles, then add the components separately. Since both vectors have the same magnitude but point in different directions, their components will combine in a way that determines both the magnitude and direction of the resultant. Think of it as finding where two forces point when resolved along perpendicular axes—the final answer emerges from vector addition in component form.