If it's in , can you still do it if there is 4 vectors but each have x y and z?
Do you want to ask whether more than n vectors from (here n=3) can be linearly independent? - If so, the answer is no, because a system of n (here 3) homogeneous linear equations in more than n variables (here 4) always has non-trivial solutions.
Or, in fewer words: 4 vectors from cannot be linearly independent (they are necessarily linearly dependent).