Exercise 1

Consider the vectors $$\vvec=\fourvec203{-2}, \hspace{24pt} \wvec=\fourvec1{-3}41.$$

1. Find the lengths of the vectors, $\len{\vvec}$ and $\len{\wvec}$.

2. Find the dot product $\vvec\cdot\wvec$ and use it to find the angle $\theta$ between $\vvec$ and $\wvec$.