Let ||.||2 denote the usual Euclidean norm on Rn. Determine the constants in the norm equivalence inequalities

Question:

Let ||.||2 denote the usual Euclidean norm on Rn. Determine the constants in the norm equivalence inequalities c* ||v|| ≤ ||v||2 ≤ C* ||v|| for the following norms:
(a) The weighted norm ||v|| = √2v21 + 3v22,
(b) The norm ||v|| = max{ |v1+ v22|, |v1, - v2| }.