Find the vector and parametric equations for the line through the point P(-3, 1, -3) and orthogonal to the plane $3 x + 5 y - 3 z = 2$. Vector Form: $\mathbf r = \langle$ , , -3 $\rangle + t \langle$ , , -3 $\rangle$ Parametric form (parameter t, and passing through P when t = 0):
$x = x(t) =$
$y = y(t) =$
$z = z(t) =$