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respectively, find those in which the box made out of them has the maximum volume. Justify your answer.

respectively, find those in which the box made out of them has the maximum volume. Justify your answer.

Advanced Engineering Mathematics
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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Question
Q2
Calculate the volume of the box made out of the vectors u = (1, 1, 1), v = (1,-1,2) and w = (0, 1, 3). Among all three vectors u, v and w with lengths equal to 1, 2, and 3, respectively, find those in which the box made out of them has the maximum volume. Justify your answer. 3 Obviously the order of vectors is irrelevant to the shape and the volume of the box made out of three vectors. How do you explain it by using the above formulas?
Transcribed Image Text:Calculate the volume of the box made out of the vectors u = (1, 1, 1), v = (1,-1,2) and w = (0, 1, 3). Among all three vectors u, v and w with lengths equal to 1, 2, and 3, respectively, find those in which the box made out of them has the maximum volume. Justify your answer. 3 Obviously the order of vectors is irrelevant to the shape and the volume of the box made out of three vectors. How do you explain it by using the above formulas?
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