Skip to main content\(\newcommand{\avec}{{\mathbf a}}
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\)
There is a diagram with two vectors
\(\vvec=twovec12\) and
\(\wvec=\twovec{-2}{-4}\) shown. These vectors lie on a line, which is also shown.
At the top of the diagram are two sliders, which allow the reader to vary two scalars
\(c\) and
\(d\text{.}\) The linear combination
\(c\vvec+d\wvec\) is also shown. When either of the two sliders is changed, the new linear combination is shown.
Instructions.
The diagram below can be used to construct linear combinations whose weights \(c\) and \(d\) may be varied using the sliders at the top. The vectors \(\vvec\) and \(\wvec\) are outlined while the linear combination
\begin{equation*}
c\vvec + d\wvec
\end{equation*}
is shaded in red.
