If u1, u2, u3 do not span R³, then there is a plane p in R³ that contains all of them. (Bonus: How can we find this plane? Does the plane go through the origin?)
a) Determine if the vectors span R³.
b) Find a plane orthogonal to u1, u2, u3.
c) Calculate the intersection point of the vectors.
d) Determine if the plane passes through the origin.
