Which of the following is the parametric equation of the line of intersection of the planes
$x - z = 1$ and $3x + y = 2$? (Hint: Notice that $P = (0, -2, -1)$ is a point of intersection of these
planes.)
(i) $r(t) = (t - 1, -2t - 2, -t + 1)$
(ii) $r(t) = (t, -2t - 2, -t - 1)$
(iii) $r(t) = (t, -3t - 2, t - 1)$
(iv) $r(t) = (2t, 3t - 2, t - 3)$
(v) none of the above