(d) Find nonzero Z = (2₁, 22) that is perpendicular to w. Find a unit vector 2 that is perpendicular to w.

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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. Let
-3
2
u= [-2],- = [3], and w = [-].
U=
,V=
Transcribed Image Text:. Let -3 2 u= [-2],- = [3], and w = [-]. U= ,V=
(d) Find nonzero2 = (21, 22) that is perpendicular to w. Find a unit vector 2 that is perpendicular
to w.
Transcribed Image Text:(d) Find nonzero2 = (21, 22) that is perpendicular to w. Find a unit vector 2 that is perpendicular to w.
Expert Solution
Step 1: Introduction

Vector is a quantity that has both magnitude and direction. Some mathematical operations can be performed on vectors such as addition and multiplication. The multiplication of vectors can be done in two ways, i.e. dot product and cross product. 

Two vectors are perpendicular to each other if their dot product is 0.

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