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Elementary Linear Algebra (MindTap Course List)

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 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}

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Consider the vector field F = (
'x²+y2 'x²+y2/
Write yes or no for each:
Is this field conservative on an open simply-connected region containing the origin?
Is this field conservative on an open simply-connected region that doesn't include the
origin?

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