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b1*x1 + b2*x2 + ..... + bk*xk

with b1 + b2 + .... + bk = 1

where the condition that any of the b's do not have to be greater than or equal to zero, as it is required in the convex combination.

In 2D, what is the affine hull of two points? Three points? n>3 points?

In 3D, what is the affine hull of two points? Three points? n>3 points?

The professor said it was easy but i'm still not quite yet grasping the concept.

thanks guys