Problem: If c is in Vn, show that the function f given by f(x) = c.x (c dot x, where both c and x are vectors) is continuous on ℝn. How do I go about proving this? I'm not sure if c is supposed to be a constant or a constant vector, but since it is bolded in the book I am assuming it is a vector. Also, I'm not sure what Vn is. Finally, how do I show it is continuous? As you can probably see, I am very lost. Any help would be appreciated.