Two Vector Norms, Max and Min

★ 5/10Extrema Estimation inequality vectors

Problem

Vectors $\boldsymbol{a}$ and $\boldsymbol{b}$ satisfy $|\boldsymbol{a}| + |\boldsymbol{b}| = 2$ . Find the maximum and minimum values of

3|\boldsymbol{a} + \boldsymbol{b}| + 2|\boldsymbol{a} - \boldsymbol{b}|.

Answer

Solution

Difficulty	5/10
Topics	Extrema, Estimation, inequality, vectors

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