# Math Help - Connected Subset

1. ## Connected Subset

Let A be a connected subset of . Suppose that the points (0,0,1) and (4,3,0) are in A.

a. Prove that there is a point in A whose second component is 2.
b. Prove that there is a point in A whose norm is 4.

For the able part, I got answer to part a), but I am not sure how to solve part b. Can someone help me?

2. The norm of (0, 0, 1) is 1, the norm of (4, 3, 0) is 5. Can you show that "norm" is a continuous function?