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| View Original: | Line integral of vector field.gif (450x410) | |||
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| Keywords: Line integral of vector field.gif Line integral of a vector field F The particle in red travels from point a to point b along a curve C in a vector field F Shown below on the dial at right is the field's vectors from the perspective of the particle As it changes orientation the axis arrows rotate to illustrate the changes in reference The blue arrow is the field vector relative to the current orientation of the particle The dot product of the displacement vector in red and the field vector in blue results in the value represented as a green bar This bar sweeps an area as the particle travels along the path This area is equivalent to the line integral own 2012-07-25 Lucas V Barbosa Line integral of a scalar field Animations of calculus Mathematical animations Line integral Vector fields Multivariate calculus Animated GIF Displacement | ||||
