The second picture is the result from other question, and I need to use that result with this question

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The second picture is the result from other question, and I need to use that result with this question
- To show that v and w = (v•ej)e¡ + (v•e2)e2 are
equal, show that v- w is orthogonal to both e
and e2.
%3D
Transcribed Image Text:- To show that v and w = (v•ej)e¡ + (v•e2)e2 are equal, show that v- w is orthogonal to both e and e2. %3D
Consider the vectors e = (1//2 )(i + j) and e
3 (1//2)(i– j) in the plane. Check that e, and
e, are unit vectors perpendicular to each other
and express each of the following vectors in the
form v = aej + a‚e2 (that is, as a linear combina-
tion of e,
(а) v 3Dі,
(c) v= 2i + j,
and e):
(b) v= j,
%3D
(d) v
= - 2i - j.
Transcribed Image Text:Consider the vectors e = (1//2 )(i + j) and e 3 (1//2)(i– j) in the plane. Check that e, and e, are unit vectors perpendicular to each other and express each of the following vectors in the form v = aej + a‚e2 (that is, as a linear combina- tion of e, (а) v 3Dі, (c) v= 2i + j, and e): (b) v= j, %3D (d) v = - 2i - j.
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