find the modulus and the direction cosines of each of the vectors 3i + 7j - 4k, i - 5j - 8k and 6i - 2j + 12k. find also the modulus and the direction cosines of their sum. answer Moduli: √74, 3√10, 2√46, direction cosines : (1/√74)(3, 7, -4), (1/3√10)(1, -5,(1/√46)(3, -1, 6); sum = 10i
find the modulus and the direction cosines of each of the vectors 3i + 7j - 4k, i - 5j - 8k and 6i - 2j + 12k. find also the modulus and the direction cosines of their sum. answer Moduli: √74, 3√10, 2√46, direction cosines : (1/√74)(3, 7, -4), (1/3√10)(1, -5,(1/√46)(3, -1, 6); sum = 10i
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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find the modulus and the direction cosines of each of the vectors
3i + 7j - 4k, i - 5j - 8k and 6i - 2j + 12k. find also the modulus and the direction cosines of their sum.
answer
Moduli: √74, 3√10, 2√46, direction cosines : (1/√74)(3, 7, -4), (1/3√10)(1, -5,(1/√46)(3, -1, 6); sum = 10i
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