Skip to main content\(\newcommand{\avec}{{\mathbf a}}
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\newcommand{\fvec}{{\mathbf f}}
\newcommand{\nvec}{{\mathbf n}}
\newcommand{\pvec}{{\mathbf p}}
\newcommand{\qvec}{{\mathbf q}}
\newcommand{\svec}{{\mathbf s}}
\newcommand{\tvec}{{\mathbf t}}
\newcommand{\uvec}{{\mathbf u}}
\newcommand{\vvec}{{\mathbf v}}
\newcommand{\wvec}{{\mathbf w}}
\newcommand{\xvec}{{\mathbf x}}
\newcommand{\yvec}{{\mathbf y}}
\newcommand{\zvec}{{\mathbf z}}
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\)
An interactive diagram with a slider that allows the reader to modify the fourth Fourier coefficient
\(F_3\text{.}\) This coefficient is initially set to zero and the eight plotted points are at a constant height. As
\(F_3\) is increased, however, the points decrease from the first to the third, then increase to the fifth, and then decrease to the eighth. The larger the coefficient becomes, the greater the amplitude in the variation.
Instructions.
Use the slider below to explore how the Fourier coefficient
\(F_3\) influences the vector
\(\xvec\text{.}\)
