Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Chapter 8.4, Problem 9MCQ
To determine

To find: the cross product of the vectors and then verify that the resulting vector is perpendicular to the given vectors.

Expert Solution & Answer
Check Mark

Answer to Problem 9MCQ

  (5,3,7)

Explanation of Solution

Given information:

  (1,3,2)×(2,1,1)

Calculation:

The cross product of the vector can be evaluated as follows:

  a×b=|ia1b1ja2b2ka3b3|(1,3,2)×(2,1,1)=|i12j31k21|=|3121|i|1221|j+|1231|k=5i+3j7k=(5,3,7)

Thus the cross product the vector is (5,3,7) .

Now evaluate inner product of (5,3,7) with the other given vectors as shown below.

  ab=a1b1+a2b2+a3b3(5,3,7)(1,3,2)=(5)(1)+(3)(3)+(7)(2)=5+914=0(5,3,7)(2,1,1)=(5)(2)+(3)(1)+(7)(1)=1037=0

Since the inner product of both (5,3,7)(1,3,2) and (5,3,7)(2,1,1) is zero, so the resulting vector is perpendicular to the given vectors.

Chapter 8 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 8.1 - Prob. 11CFUCh. 8.1 - Prob. 12CFUCh. 8.1 - Prob. 13CFUCh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Prob. 34ECh. 8.1 - Prob. 35ECh. 8.1 - Prob. 36ECh. 8.1 - Prob. 37ECh. 8.1 - Prob. 38ECh. 8.1 - Prob. 39ECh. 8.1 - Prob. 40ECh. 8.1 - Prob. 41ECh. 8.1 - Prob. 42ECh. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - Prob. 45ECh. 8.1 - Prob. 46ECh. 8.1 - Prob. 47ECh. 8.1 - Prob. 48ECh. 8.1 - Prob. 49ECh. 8.1 - Prob. 50ECh. 8.1 - Prob. 51ECh. 8.1 - Prob. 52ECh. 8.2 - Prob. 1CFUCh. 8.2 - Prob. 2CFUCh. 8.2 - Prob. 3CFUCh. 8.2 - Prob. 4CFUCh. 8.2 - Prob. 5CFUCh. 8.2 - Prob. 6CFUCh. 8.2 - Prob. 7CFUCh. 8.2 - Prob. 8CFUCh. 8.2 - Prob. 9CFUCh. 8.2 - Prob. 10CFUCh. 8.2 - Prob. 11CFUCh. 8.2 - Prob. 12CFUCh. 8.2 - Prob. 13CFUCh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Prob. 51ECh. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.3 - Prob. 1CFUCh. 8.3 - Prob. 2CFUCh. 8.3 - Prob. 3CFUCh. 8.3 - Prob. 4CFUCh. 8.3 - Prob. 5CFUCh. 8.3 - Prob. 6CFUCh. 8.3 - Prob. 7CFUCh. 8.3 - Prob. 8CFUCh. 8.3 - Prob. 9CFUCh. 8.3 - Prob. 10CFUCh. 8.3 - Prob. 11CFUCh. 8.3 - Prob. 12ECh. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - Prob. 19ECh. 8.3 - Prob. 20ECh. 8.3 - Prob. 21ECh. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Prob. 31ECh. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 8.3 - Prob. 41ECh. 8.3 - Prob. 42ECh. 8.3 - Prob. 43ECh. 8.3 - Prob. 44ECh. 8.3 - Prob. 45ECh. 8.3 - Prob. 46ECh. 8.3 - Prob. 47ECh. 8.3 - Prob. 48ECh. 8.3 - Prob. 49ECh. 8.3 - Prob. 50ECh. 8.4 - Prob. 1CFUCh. 8.4 - Prob. 2CFUCh. 8.4 - Prob. 3CFUCh. 8.4 - Prob. 4CFUCh. 8.4 - Prob. 5CFUCh. 8.4 - Prob. 6CFUCh. 8.4 - Prob. 7CFUCh. 8.4 - Prob. 8CFUCh. 8.4 - Prob. 9CFUCh. 8.4 - Prob. 10CFUCh. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8.4 - Prob. 27ECh. 8.4 - Prob. 28ECh. 8.4 - Prob. 29ECh. 8.4 - Prob. 30ECh. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.4 - Prob. 36ECh. 8.4 - Prob. 37ECh. 8.4 - Prob. 38ECh. 8.4 - Prob. 39ECh. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - Prob. 42ECh. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Prob. 45ECh. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.4 - Prob. 1MCQCh. 8.4 - Prob. 2MCQCh. 8.4 - Prob. 3MCQCh. 8.4 - Prob. 4MCQCh. 8.4 - Prob. 5MCQCh. 8.4 - Prob. 6MCQCh. 8.4 - Prob. 7MCQCh. 8.4 - Prob. 8MCQCh. 8.4 - Prob. 9MCQCh. 8.4 - Prob. 10MCQCh. 8.4B - Prob. 1GCECh. 8.4B - Prob. 2GCECh. 8.4B - Prob. 3GCECh. 8.4B - Prob. 4GCECh. 8.4B - Prob. 5GCECh. 8.4B - Prob. 6GCECh. 8.4B - Prob. 7GCECh. 8.4B - Prob. 8GCECh. 8.4B - Prob. 9GCECh. 8.5 - Prob. 1CFUCh. 8.5 - Prob. 2CFUCh. 8.5 - Prob. 3CFUCh. 8.5 - Prob. 4CFUCh. 8.5 - Prob. 5CFUCh. 8.5 - Prob. 6CFUCh. 8.5 - Prob. 7CFUCh. 8.5 - Prob. 8CFUCh. 8.5 - Prob. 9CFUCh. 8.5 - Prob. 10ECh. 8.5 - Prob. 11ECh. 8.5 - Prob. 12ECh. 8.5 - Prob. 13ECh. 8.5 - Prob. 14ECh. 8.5 - Prob. 15ECh. 8.5 - Prob. 16ECh. 8.5 - Prob. 17ECh. 8.5 - Prob. 18ECh. 8.5 - Prob. 19ECh. 8.5 - Prob. 20ECh. 8.5 - Prob. 21ECh. 8.5 - Prob. 22ECh. 8.5 - Prob. 23ECh. 8.5 - Prob. 24ECh. 8.5 - Prob. 25ECh. 8.5 - Prob. 26ECh. 8.5 - Prob. 27ECh. 8.5 - Prob. 28ECh. 8.5 - Prob. 29ECh. 8.5 - Prob. 30ECh. 8.5 - Prob. 31ECh. 8.5 - Prob. 32ECh. 8.5 - Prob. 33ECh. 8.5 - Prob. 34ECh. 8.5 - Prob. 35ECh. 8.5 - Prob. 36ECh. 8.5 - Prob. 37ECh. 8.5 - Prob. 38ECh. 8.6 - Prob. 1CFUCh. 8.6 - Prob. 2CFUCh. 8.6 - Prob. 3CFUCh. 8.6 - Prob. 4CFUCh. 8.6 - Prob. 5CFUCh. 8.6 - Prob. 6CFUCh. 8.6 - Prob. 7CFUCh. 8.6 - Prob. 8CFUCh. 8.6 - Prob. 9CFUCh. 8.6 - Prob. 10CFUCh. 8.6 - Prob. 11CFUCh. 8.6 - Prob. 12ECh. 8.6 - Prob. 13ECh. 8.6 - Prob. 14ECh. 8.6 - Prob. 15ECh. 8.6 - Prob. 16ECh. 8.6 - Prob. 17ECh. 8.6 - Prob. 18ECh. 8.6 - Prob. 19ECh. 8.6 - Prob. 20ECh. 8.6 - Prob. 21ECh. 8.6 - Prob. 22ECh. 8.6 - Prob. 23ECh. 8.6 - Prob. 24ECh. 8.6 - Prob. 25ECh. 8.6 - Prob. 26ECh. 8.6 - Prob. 27ECh. 8.6 - Prob. 28ECh. 8.6 - Prob. 29ECh. 8.6 - Prob. 30ECh. 8.6 - Prob. 31ECh. 8.6 - Prob. 32ECh. 8.6 - Prob. 33ECh. 8.6 - Prob. 34ECh. 8.6 - Prob. 35ECh. 8.6 - Prob. 36ECh. 8.6 - Prob. 37ECh. 8.6 - Prob. 38ECh. 8.6 - Prob. 39ECh. 8.6 - Prob. 40ECh. 8.6 - Prob. 41ECh. 8.6 - Prob. 42ECh. 8.6 - Prob. 43ECh. 8.6 - Prob. 44ECh. 8.6 - Prob. 45ECh. 8.6 - Prob. 46ECh. 8.6B - Prob. 1GCECh. 8.6B - Prob. 2GCECh. 8.6B - Prob. 3GCECh. 8.7 - Prob. 1CFUCh. 8.7 - Prob. 2CFUCh. 8.7 - Prob. 3CFUCh. 8.7 - Prob. 4CFUCh. 8.7 - Prob. 5CFUCh. 8.7 - Prob. 6CFUCh. 8.7 - Prob. 7CFUCh. 8.7 - Prob. 8CFUCh. 8.7 - Prob. 9ECh. 8.7 - Prob. 10ECh. 8.7 - Prob. 11ECh. 8.7 - Prob. 12ECh. 8.7 - Prob. 13ECh. 8.7 - Prob. 14ECh. 8.7 - Prob. 15ECh. 8.7 - Prob. 16ECh. 8.7 - Prob. 17ECh. 8.7 - Prob. 18ECh. 8.7 - Prob. 19ECh. 8.7 - Prob. 20ECh. 8.7 - Prob. 21ECh. 8.7 - Prob. 22ECh. 8.7 - Prob. 23ECh. 8.7 - Prob. 24ECh. 8.7 - Prob. 25ECh. 8.7 - Prob. 26ECh. 8.7 - Prob. 27ECh. 8.7 - Prob. 28ECh. 8.7 - Prob. 29ECh. 8.8 - Prob. 1CFUCh. 8.8 - Prob. 2CFUCh. 8.8 - Prob. 3CFUCh. 8.8 - Prob. 4CFUCh. 8.8 - Prob. 5CFUCh. 8.8 - Prob. 6CFUCh. 8.8 - Prob. 7ECh. 8.8 - Prob. 8ECh. 8.8 - Prob. 9ECh. 8.8 - Prob. 10ECh. 8.8 - Prob. 11ECh. 8.8 - Prob. 12ECh. 8.8 - Prob. 13ECh. 8.8 - Prob. 14ECh. 8.8 - Prob. 15ECh. 8.8 - Prob. 16ECh. 8.8 - Prob. 17ECh. 8.8 - Prob. 18ECh. 8.8 - Prob. 19ECh. 8.8 - Prob. 20ECh. 8.8 - Prob. 21ECh. 8.8 - Prob. 22ECh. 8.8 - Prob. 23ECh. 8.8 - Prob. 24ECh. 8.8 - Prob. 25ECh. 8.8 - Prob. 26ECh. 8.8 - Prob. 27ECh. 8.8 - Prob. 28ECh. 8.8 - Prob. 29ECh. 8.8 - Prob. 30ECh. 8 - Prob. 1SGACh. 8 - Prob. 2SGACh. 8 - Prob. 3SGACh. 8 - Prob. 4SGACh. 8 - Prob. 5SGACh. 8 - Prob. 6SGACh. 8 - Prob. 7SGACh. 8 - Prob. 8SGACh. 8 - Prob. 9SGACh. 8 - Prob. 10SGACh. 8 - Prob. 11SGACh. 8 - Prob. 12SGACh. 8 - Prob. 13SGACh. 8 - Prob. 14SGACh. 8 - Prob. 15SGACh. 8 - Prob. 16SGACh. 8 - Prob. 17SGACh. 8 - Prob. 18SGACh. 8 - Prob. 19SGACh. 8 - Prob. 20SGACh. 8 - Prob. 21SGACh. 8 - Prob. 22SGACh. 8 - Prob. 23SGACh. 8 - Prob. 24SGACh. 8 - Prob. 25SGACh. 8 - Prob. 26SGACh. 8 - Prob. 27SGACh. 8 - Prob. 28SGACh. 8 - Prob. 29SGACh. 8 - Prob. 30SGACh. 8 - Prob. 31SGACh. 8 - Prob. 32SGACh. 8 - Prob. 33SGACh. 8 - Prob. 34SGACh. 8 - Prob. 35SGACh. 8 - Prob. 36SGACh. 8 - Prob. 37SGACh. 8 - Prob. 38SGACh. 8 - Prob. 39SGACh. 8 - Prob. 40SGACh. 8 - Prob. 41SGACh. 8 - Prob. 42SGACh. 8 - Prob. 43SGACh. 8 - Prob. 44SGACh. 8 - Prob. 45SGACh. 8 - Prob. 46SGACh. 8 - Prob. 47SGACh. 8 - Prob. 48SGACh. 8 - Prob. 49SGACh. 8 - Prob. 50SGACh. 8 - Prob. 51SGACh. 8 - Prob. 52SGACh. 8 - Prob. 53SGACh. 8 - Prob. 54SGACh. 8 - Prob. 55SGACh. 8 - Prob. 56SGACh. 8 - Prob. 57SGACh. 8 - Prob. 58SGACh. 8 - Prob. 1SAPCh. 8 - Prob. 2SAPCh. 8 - Prob. 3SAPCh. 8 - Prob. 4SAPCh. 8 - Prob. 5SAPCh. 8 - Prob. 6SAPCh. 8 - Prob. 7SAPCh. 8 - Prob. 8SAPCh. 8 - Prob. 9SAPCh. 8 - Prob. 10SAP
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