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Question 1

We are considering converting the \(\begin{pmatrix} x \\ y \end{pmatrix} \) format into the Polar \((r,\theta)\) format.

In this question you are just being asked to find the length, \(r\), correct to 2 decimal places or you can type sqrt(z) with appropriate \(z\) value.

For the following four vectors calculate the corresponding \(r\) value when converted to Polar format.

\( \underline{v}_1 = \begin{pmatrix} \var{a[0]} \\ \var{a[1]} \end{pmatrix} \), \(r=\)

\( \underline{v}_2 = \begin{pmatrix} \var{b[0]} \\ \var{b[1]} \end{pmatrix} \), \(r=\)

\( \underline{v}_3 = \begin{pmatrix} \var{c[0]} \\ \var{c[1]} \end{pmatrix} \), \(r=\)

\( \underline{v}_4 = \begin{pmatrix} \var{d[0]} \\ \var{d[1]} \end{pmatrix} \), \(r=\)

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