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.

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Chapter2: Second-order Linear Odes
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I got answers to a and b. Could you help me with c and d?

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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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