Skip to main content\(\newcommand{\avec}{{\mathbf a}}
\newcommand{\bvec}{{\mathbf b}}
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\newcommand{\fvec}{{\mathbf f}}
\newcommand{\nvec}{{\mathbf n}}
\newcommand{\pvec}{{\mathbf p}}
\newcommand{\qvec}{{\mathbf q}}
\newcommand{\svec}{{\mathbf s}}
\newcommand{\tvec}{{\mathbf t}}
\newcommand{\uvec}{{\mathbf u}}
\newcommand{\vvec}{{\mathbf v}}
\newcommand{\wvec}{{\mathbf w}}
\newcommand{\xvec}{{\mathbf x}}
\newcommand{\yvec}{{\mathbf y}}
\newcommand{\zvec}{{\mathbf z}}
\newcommand{\rvec}{{\mathbf r}}
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\)
An interactive diagram with a slider that allows the reader to vary the last Fourier coefficient
\(F_7\text{.}\) Initially the points are constant on the vertical scale. As
\(F_7\) is increased, they begin to rapidly vary in an up-down-up-down pattern. As
\(F_7\) is increased further, the amplitude of the variation becomes larger.
Instructions.
Use the slider below to explore how the Fourier coefficient
\(F_7\) influences the vector
\(\xvec\text{.}\)
