4. If y = Z₁ + Z₂, where Z₁ is in a subspace W and Z2 is in W, then Z₁ must be the orthogonal projection of y onto W. 5. If the distance between vectors u and v is equal to the distance between u and -v, then u and v are orthogonal.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. If y = Z₁ + Z₂, where Z₁ is in a subspace W and Z2 is in W, then Z₁ must be the orthogonal projection of y onto W.
5. If the distance between vectors u and v is equal to the distance between u and -v, then u and v are orthogonal.
Transcribed Image Text:? ? 4. If y = Z₁ + Z₂, where Z₁ is in a subspace W and Z2 is in W, then Z₁ must be the orthogonal projection of y onto W. 5. If the distance between vectors u and v is equal to the distance between u and -v, then u and v are orthogonal.
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