Given the vectors A = 8i + 4j - 2k N B = 2j + 6k m C = 3i - 2j + 4k m calculate the following: (1) A · B; (2) the orthogonal component of B in the direc- tion of C; (3) the angle between A and C; (4) A × B; (5) a unit vector that is perpendicular to both A and B; and (6) A × B.C.
Given the vectors A = 8i + 4j - 2k N B = 2j + 6k m C = 3i - 2j + 4k m calculate the following: (1) A · B; (2) the orthogonal component of B in the direc- tion of C; (3) the angle between A and C; (4) A × B; (5) a unit vector that is perpendicular to both A and B; and (6) A × B.C.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![Sample Problem 1.9
Given the vectors
A = 8i + 4j - 2k N
B = 2j + 6k m
C = 3i - 2j + 4k m
calculate the following: (1) A - B; (2) the orthogonal component of B in the direc-
tion of C; (3) the angle between A and C; (4) A × B; (5) a unit vector that is
perpendicular to both A and B; and (6) A × B · C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc74d896-5381-4e65-9b65-7e76ebebf0ca%2Fc2a37914-c3ca-4669-9520-217ca36a3fc4%2Fkx5crk7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Sample Problem 1.9
Given the vectors
A = 8i + 4j - 2k N
B = 2j + 6k m
C = 3i - 2j + 4k m
calculate the following: (1) A - B; (2) the orthogonal component of B in the direc-
tion of C; (3) the angle between A and C; (4) A × B; (5) a unit vector that is
perpendicular to both A and B; and (6) A × B · C.
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