Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
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Let {u₁, 12, u2} be an orthonormal basis for an inner product space V. Suppose v = au₁ + bu₂ + cuz is so that ||v||= √80, (v, u₂) = -8, and (v, u3) = -4. Find the possible values for a, b, and c. a= b= .c
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Transcribed Image Text:Let {u₁, 12, u2} be an orthonormal basis for an inner product space V. Suppose v = au₁ + bu₂ + cuz is so that ||v||= √80, (v, u₂) = -8, and (v, u3) = -4. Find the possible values for a, b, and c. a= b= .c
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