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.
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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 13E
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Question
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a unit vector
λ that is
perpendicular to both A and B
![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%2F92651fe9-ddd3-4dd9-a1d9-13c4278229f9%2Fclh4po8_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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