Find point-to-line distance with cross product and projection

The points A,B,P have position vectors $\mathbf i+2\mathbf j+3\mathbf k$, $2\mathbf i+4\mathbf j+4\mathbf k$ and $\mathbf i+\mathbf j-\mathbf k$, respectively. Find the perpendicular distance from P to the line through A and B.