= n (2, 18), = (. -) 6,

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 66E
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Determine whether u and v are orthogonal, parallel, or neither.

= n
(2, 18),
= (. -)
6,
Transcribed Image Text:= n (2, 18), = (. -) 6,
Expert Solution
Step 1

Given vectors are u=2,18 and v=32,-16

Given vectors can be written as:

u=2i+18j and v=32i-16j

We know that two vectors are perpendicular if their dot product is zero.

Two vectors are parallel if one vector can be written as scalar multiple of other vector.

Therefore, finding dot product of given vectors.

u·v=2i+18j·32i-16j=2·32i2+18·-16j2=3-3                                    i2=1 & j2=1=0 

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