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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

Section5.3: Orthonormal Bases:gram-schmidt Process

Problem 18E

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Express (5x + 7y, 8x + 5y, 0) as the sum of a curl free vector field and a
divergence free vector field.
(5x + 7y, 8x + 5y, 0) =
1
+
where the first vector in the sum is curl free and the second is divergence free.
(For this problem, enter your vectors with angle-bracket notation: < a, b, c >, not in ijk-
notation.)

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