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?

Thanks in advance