Use a software program or a graphing utility with vector capabilities to find the lengths of u and v, a unit vector in the direction of v, a unit vector in the direction opposite that of u, uv, uu, and vv. (Round your answers to four decimal places.) U = = (0, 1, √5), v = (-1, √5, -1) (a) the norms of u and v ||v|| = (b) a unit vector in the direction of v (c) (d) u V (e) u u (f) V. V a unit vector in the direction opposite that of u

Use a software program or a graphing utility with vector capabilities to find the lengths of u and v, a unit vector in the direction of v, a unit vector in the direction opposite that of u, uv, uu, and vv. (Round your answers to four decimal places.) U = = (0, 1, √5), v = (-1, √5, -1) (a) the norms of u and v ||v|| = (b) a unit vector in the direction of v (c) (d) u V (e) u u (f) V. V a unit vector in the direction opposite that of u

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 13CR

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Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set {v12v2,2v23v3,3v3v1} linearly dependent or linearly independent? Explain.

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