Question: Find all v R2 such that (a) ||v||1 = ||v|| (b) ||v||1 = ||v|| (c) ||v||2 = ||v|| (d) ||v|| = 1/2 ||v||

Find all v ∈ R2 such that
(a) ||v||1 = ||v||∞
(b) ||v||1 = ||v||∞
(c) ||v||2 = ||v||∞
(d) ||v||∞ = 1/√2 ||v||

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