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Let , , and be scalars and let a, b, and c be pairwise orthogonal n-vectors. (This means that ab, ac, and bc.) Express ||a + b + c|| in terms of...

Let α, β, and γ be scalars and let a, b, and c be pairwise orthogonal n-vectors. (This means that a⊥b, a⊥c, and b⊥c.) Express ||αa + βb + γc|| in terms of ||a||, ||b||, ||c||, α, β, and γ.

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