I have 3 vectors and im trying to find a vector to add to them to form a bisis for r^4.... can some one help.
The simplest way to do this is to form a vector that is perpendicular to the other three. Recall that the dot product between two vectors is zero when they are perpendicular, so you will have 3 dot product equations and four variables, so the result will not be unique (which you probably could have guessed yourself.)
-Dan