Skip to main content\(\newcommand{\avec}{{\mathbf a}}
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\)
There is a diagram with two vectors
\(\vvec=twovec21\) and
\(\wvec=\twovec12\) shown. There is also a grid consisting of two sets of parallel lines. One set of parallel lines is parallel to
\(\vvec\) and passes through integer multiples of
\(\wvec\text{.}\) The other set of parallel lines is parallel to
\(\wvec\) and passes through integer multiples of
\(\vvec\text{.}\)
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.
In a similar way, the diagram below can be used to construct linear combinations
\begin{equation*}
c\vvec + d\wvec.
\end{equation*}
