Solution Found!
Proof Let u and v be nonzero vectors in an innerproduct space V. Prove that u projvu is
Chapter 5, Problem 90(choose chapter or problem)
QUESTION:
Proof Let \(\mathbf{u}\) and \(\mathbf{v}\) be nonzero vectors in an inner product space V. Prove that \(\mathbf{u}- proj_{\mathbf{v}} \mathbf{u}\) is orthogonal to \(\mathbf{v}\).
Text Transcription:
u
v
u - proj_{v} u
Questions & Answers
QUESTION:
Proof Let \(\mathbf{u}\) and \(\mathbf{v}\) be nonzero vectors in an inner product space V. Prove that \(\mathbf{u}- proj_{\mathbf{v}} \mathbf{u}\) is orthogonal to \(\mathbf{v}\).
Text Transcription:
u
v
u - proj_{v} u
ANSWER:Step 1 of 3
Proof Let and be nonzero vectors in an inner product space . Prove that is orthogonal to .
By definition, if is orthogonal to then