Let the position vectors of vertices \( A, B \) and \( C \) of a triangle be \( 2\hat{i} + 2\hat{j} + \hat{k}, \, \hat{i} + 2\hat{j} + 2\hat{k} \),and \( 2\hat{i} + \hat{j} + 2\hat{k}\) respectively. Let \( l_1, l_2 \) and \( l_3 \) be the lengths of perpendiculars drawn from the ortho centre of the triangle on the sides \( AB, BC \) and \( CA \) respectively, then \( l_1^2+l_2^2+l_3^2 \) equals:
