Determine whether the given vector functions are linearly dependent or linearly independent on the interval ( - co, co). Select the correct choice below, and fill in the answer box to complete your choice. O A. The vector functions are linearly dependent since there exists constants c1. C2. and ca. not all 0. such that cy bi + ez | |+ca gt - 0 for all t in 1. In particular. cy - C3 = O B. The vector functions are linearly independent since there is only one combination of c1. C2, and cy that satisfy the equation c, ,_5t . cz[;- ; ]+ ca[ = ]-. for = 0 for all t in I. In particular, C1 = . C2= . C3 = O c. The vector functions are linearly independent since there exists constants c. C2. and c3. not all 0. such that cy , 3 +ez _ 1 +cast - 0 for all t in 1. In particular. c C3 = OD The vector functions are linearly dependent since there is only one combination of c1. C2. and cy that satisfy the equation ci, 21 +02 :1 +cast - 0 forall tin 1 in particular C1 = . C2 = . C3 =