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Student[VectorCalculus][evalVF] - evaluate a vector field at a point
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Calling Sequence
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evalVF(F, v)
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Parameters
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F
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vector field or Vector-valued procedure; specify the components of the vector field
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v
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free or position Vector; specify the point at which to evaluate the vector field
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Description
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The evalVF(F, v) calling sequence evaluates the vector field F at the point v. The parameters, F and v, must have the same dimension, but do not need to be defined in the same coordinate system.
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The vector field parameter, F, can also be specified as a Vector-valued procedure, in which case this procedure is evaluated at the coordinates of the Vector v.
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Examples
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![with(Student[VectorCalculus])](/support/helpjp/helpview.aspx?si=4463/file05194/math77.png)
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![SetCoordinates(polar[r, theta])](/support/helpjp/helpview.aspx?si=4463/file05194/math81.png)
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![polar[r, theta]](/support/helpjp/helpview.aspx?si=4463/file05194/math84.png)
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![F := Vector[column]([[r^2*theta], [-theta]], ["r", "theta"], "field")](/support/helpjp/helpview.aspx?si=4463/file05194/math91.png)
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*Pi], [-(1/2)*Pi]])](/support/helpjp/helpview.aspx?si=4463/file05194/math98.png)
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![evalVF(proc (a, b) options operator, arrow; `<,>`(a^2, b^2) end proc, Vector([0, 1], attributes = [coordinates = cartesian]))](/support/helpjp/helpview.aspx?si=4463/file05194/math102.png)
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*Pi^2]])](/support/helpjp/helpview.aspx?si=4463/file05194/math105.png)
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