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
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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.
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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