8. Which of the following is a necessary and sufficient condition for the vector


to belng to the subspace of R3 generated by the vectors


A. a - 3 b -4 c = 0 B. 2 a -4 b - 3 c = 0 C. 3a - 2 b - 2 c = 0
D. 4 a - 3 b -2 c = 0 E. 5 a - 7 b - c = 0.

Solution: The answer is B

The conditions of the problem imply that


That is,

Tabulating,


which is the relation sought.