4. proj= projū 5. proj (c) = c proj 6. u (v+w)=u-v+u w
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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Question
I want a parts 4,5,6 solution but please correctly and handwritten
Transcribed Image Text:A. Vector Properties
Which of the following properties hold for vectors u, v, w in R2 and scalars c and d? If
true, prove them; otherwise, provide a counterexample.
1. c(u + v) cu + cu
=
2. (c+d)ucu + du
3. cu+c|u|| +c|||||
=
4. proj projzu
5. proju (cu) = c proj
6. u (v+w)=u.v+uw
.
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