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) = + 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 i jk-notation.)

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) =
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 i jk-notation.)
+
Transcribed Image Text: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) = 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 i jk-notation.) +
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