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In an Euclidean space E, the vectors u+v and u - v are orthogonal, and the vectors u and u+3v have the lengths 2 and 8 respectively. Find the inner product of the vectors u and v, and the length of the vector 2u - v.

In an Euclidean space E, the vectors u+v and u - v are orthogonal, and the vectors u and u+3v have the lengths 2 and 8 respectively. Find the inner product of the vectors u and v, and the length of the vector 2u - v.

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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In an Euclidean space E, the vectors u+v and u-v are orthogonal, and the vectors u and u+3e have the lengths 2 and 8 respectively. Find the inner product of the vectors u and v, and the length of the vector B.2 2u - v.
Transcribed Image Text:In an Euclidean space E, the vectors u+v and u-v are orthogonal, and the vectors u and u+3e have the lengths 2 and 8 respectively. Find the inner product of the vectors u and v, and the length of the vector B.2 2u - v.
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