Exercise 64

  1. Find the point at which the given lines intersect: \(\mathbf{r} = \langle 1, 1, 0 \rangle + t\langle 1, -1, 2 \rangle\) \(\mathbf{r} = \langle 2, 0, 2 \rangle + s\langle -1, 1, 0 \rangle\)
  2. Find an equation of the plane that contains these lines.