Find an explicit description of the line 3x+2y = 0 in R2 through the origin.
the answer is:
span {[2, -3]} , but how?
I do not necessarily disagree with reply #2.
However, the point is on the line
That line contains , so its direction vector is .
Thus in traditional vector geometry its equation is
So notation is everything here. Unless you tell us about the notation in use in your notes, we cannot really answer.