Let {u₁, U2, 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=
Let {u₁, U2, 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=
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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