- #1
Lee33
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Homework Statement
Let ##\mathbb{R}^2 = \{Q = (a,b) | a,b\in \mathbb{R}\}##. Prove that if ##q_1 = (a_1,b_1)## and ##q_2=(a_2,b_2)## are equivalent, meaning ##a_1^2+b_1^2 = a_2^2 +b_2^2##, then this gives an equivalence relation on ##\mathbb{R}^2##. What is ##[(1,0)], [(0,1)],[(2,2)],[(0,0)]?## What does an equivalence class look like?
2. The attempt at a solution
I know how to do the first part with the equivalence relation but I am not sure how to do the second part of the question?