11. A, B, C are vectors defined by A = 8i + 2j- 3k, B = 3i-6j+ 4k, and C=2i-2j-k, where i, j, k are mutually perpendicular unit vectors. (i) Calculate A.B and show that A and B are perpendicular to each other (ii) Find the magnitude and the direction cosines of the product vector (AXB)
11. A, B, C are vectors defined by A = 8i + 2j- 3k, B = 3i-6j+ 4k, and C=2i-2j-k, where i, j, k are mutually perpendicular unit vectors. (i) Calculate A.B and show that A and B are perpendicular to each other (ii) Find the magnitude and the direction cosines of the product vector (AXB)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![11. A, B, C are vectors defined by A = 8i + 2j- 3k, B = 3i-6j+ 4k, and
C=2i-2j-k, where i, j, k are mutually perpendicular unit vectors.
(i) Calculate A.B and show that A and B are perpendicular to each
other
(ii) Find the magnitude and the direction cosines of the product
vector (AXB)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84458d29-a2ac-4b19-8f6a-c5f2b0c077df%2F993e4986-d274-4002-81e9-0e026e3e4bba%2Fwk0tjnq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11. A, B, C are vectors defined by A = 8i + 2j- 3k, B = 3i-6j+ 4k, and
C=2i-2j-k, where i, j, k are mutually perpendicular unit vectors.
(i) Calculate A.B and show that A and B are perpendicular to each
other
(ii) Find the magnitude and the direction cosines of the product
vector (AXB)
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