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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 50E
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98343509-d4f7-49e5-b3d7-438b72c6cd20%2F92132c58-7146-4127-9643-6cb036138770%2Fdfify1_processed.jpeg&w=3840&q=75)
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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