The line l₁ is parallel to the vector i – 2j – 3k and passes through the point A, whose position vector is 3i + 3j - 4k. The line l₂ is parallel to the vector –2i + j + 3k and passes through the point B, whose position vector is –3i – j + 2k. The point P on l₁ and the point Q on l₂ are such that PQ is perpendicular to both l₁ and l₂. Find (i) the length PQ, (ii) the cartesian equation of the plane Π containing PQ and l₂, (iii) the perpendicular distance of A from Π.