Find the value of for which the four points with position vectors , , and are coplanar.

Find the value of $\lambda$ for which the four points with position vectors $6\hat{i} - 7\hat{j}$, $16\hat{i} - 19\hat{j} - 4\hat{k}$, $\lambda\hat{j} - 6\hat{k}$ and $2\hat{i} - 5\hat{j} + 10\hat{k}$ are coplanar.