Mathematics, 08.04.2021 17:40, jamyiaa93

Let {u1,u2,u3} be an orthonormal basis for an inner product space V. If v=au1+bu2+cu3
is so that ∥v∥=42, v is orthogonal to u3, and ⟨v, u2⟩=−42, find the possible values for a, b, and c.

Answers: 3

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Let {u1,u2,u3} be an orthonormal basis for an inner product space V. If v=au1+bu2+cu3
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Let {u1,u2,u3} be an orthonormal basis for an inner product space V. If v=au1+bu2+cu3 is so that ∥v∥=42, v is orthogonal to u3, and ⟨v, u2⟩=−42, find the possible values for a, b, and c.

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Let {u1,u2,u3} be an orthonormal basis for an inner product space V. If v=au1+bu2+cu3
is so that ∥v∥=42, v is orthogonal to u3, and ⟨v, u2⟩=−42, find the possible values for a, b, and c.