-) If |||| = 3, |||| = 4 and 7 and y are orthogonal, find the value of (+5) · (7+ y)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Answer b In this practice exam
iv. there isn't enough information to tell
(circle one of the above answers)
4. (a) If u = 2, ū. u = 4 and 7 = 1, find the value of (3+20) (-i)
(b) If |||| = 3, |||| = 4 and 7 and y are orthogonal, find the value of (+ỹ) · (I + Y)
-u) are
Transcribed Image Text:iv. there isn't enough information to tell (circle one of the above answers) 4. (a) If u = 2, ū. u = 4 and 7 = 1, find the value of (3+20) (-i) (b) If |||| = 3, |||| = 4 and 7 and y are orthogonal, find the value of (+ỹ) · (I + Y) -u) are
Expert Solution
Step 1

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.

it is given that

||x||=3,\:\:\:\: ||y||=4

take a square on both sides

||x||^2=9,\:\:\:\: ||y||^2=16

so we can write

x\cdot x=9,\:\:\:\: y\cdot y=16

and x and y are  orthogonal, which means their dot product is zero

so we can write

x\cdot y =0

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