Let A be a connected subset of http://www.mathhelpforum.com/math-he...8e005b84a8.png. 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
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?