What are the components of vector c
a. cx = -5.20m cy= 3.00m
b. cx=5.20m cy= 3.00m
c. cx= 3.00m cy=5.20m
d. cx= -3.00m cy= -5.20m

The answer to your question is: Cx = -3.0 m

                                                     Cy = -5.2 m

Explanation:

Vector C is in the third quadrangle then Cx and Cy are negatives. The answer were both components are negatives is letter D. But let's do the operations to prove it.

cos Ф = os/hyp   clear os  

os = hyp x cosФ

os = 6 x cos 60

os = 6 x 0.5 = 3 but is negative   os or Cx = -3 m

sen Ф = as / hyp clear as

as = hyp x sen Ф but is negative as or Cy = -5.2 m

as = 6 x sen 60

as = 6 x 0.87

as = 5.2 m