Two Vector Norms, Coupled

★ 7/10SubstitutionCauchy-Schwarzvectors

Problem

Given ∣a⃗∣=∣a⃗+2b⃗∣=2|\vec a| = |\vec a + 2\vec b| = 2, find the maximum of

∣2a⃗+b⃗∣+∣b⃗∣.\left|2\vec a + \vec b\right| + \left|\vec b\right|.

Answer

Solution

Difficulty7/10
TopicsSubstitution, Cauchy-Schwarz, vectors

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