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a) Show that u and v are orthogonal. b) Find the value of a for which w is orthogonal to v c) Find proj, u and proj,u.

a) Show that u and v are orthogonal. b) Find the value of a for which w is orthogonal to v c) Find proj, u and proj,u.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 21EQ
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I got answers to a and b. Could you help me with c and d?

Thank you!

Suppose u = (1, –2, 6), v = (2, –5,-2) and w = (a, 2, -1). %3D %3D a) Show that u and v are orthogonal. b) Find the value of a for which w is orthogonal to v c) Find proj, u and proj,u. d) Find |l|proj, u | and ||proj, u||.
Transcribed Image Text:Suppose u = (1, –2, 6), v = (2, –5,-2) and w = (a, 2, -1). %3D %3D a) Show that u and v are orthogonal. b) Find the value of a for which w is orthogonal to v c) Find proj, u and proj,u. d) Find |l|proj, u | and ||proj, u||.
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