Three Dimensional Geometry

A line \(\mathrm{L}_1\) passes through the point, whose p. v. (position vector) \(3 \hat{i}\), is parallel to the vector \(-\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}\). Another line \(\mathrm{L}_2\) passes through the point having p.v. \(\hat{i}+\hat{j}\) is parallel to vector \(\hat{i}+\hat{k}\), then the point of intersection of lines \(L_1\) and \(L_2\) has p.v.