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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.1 Vector Fields, #9 · Multivariable Calculus · Vector calculus

Draw the shear field

Draw the shear field $F = x j$ . Check that it is not a gradient field: If $\partial f / \partial x = 0$ then $\partial f / \partial y = x$ is impossible. What are the streamlines (field lines) in the direction of $F$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.1 Vector Fields, #9

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