● Let u = 2-25 - 2k + ● and = 2î - 2Ĵ+k. Find a vector w such that the parallelepiped spanned by u, V and w is a cube. What is the volume of this cube? What is the volume of parallel piped spanned by the vectors ū, ū+v, and ů. V + W? +
● Let u = 2-25 - 2k + ● and = 2î - 2Ĵ+k. Find a vector w such that the parallelepiped spanned by u, V and w is a cube. What is the volume of this cube? What is the volume of parallel piped spanned by the vectors ū, ū+v, and ů. V + W? +
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
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Transcribed Image Text:Let u=22₁ - 2k
-2Ĵ
+
and = 22-2Ĵ-k.
Find a vector w such that the parallelepiped spanned by u, ū and w
is a cube. what is the volume of this cube?
What is the volume of parallel piped spanned by the vectors ū, ū+v,
and ů + V + W ?
Expert Solution
Step 1: Volume of first parallelepiped
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