Mathematics - 3D-Coordinate Geometry Question with Solution | TestHub

Consider ${\mathrm{L}}_1,{\mathrm{L}}_2\&{\mathrm{L}}_3$ be three mutually perpendicular lines. Let line ${\mathrm{L}}_{\mathrm{A}}$ lies in the plane of ${\mathrm{L}}_1\&$ ${\mathrm{L}}_2$ and makes equal angles with ${\mathrm{L}}_1\&{\mathrm{L}}_2$ whereas line ${\mathrm{L}}_{\mathrm{B}}$ lies in the plane of ${\mathrm{L}}_2\&{\mathrm{L}}_3$ and makes equal angles with ${\mathrm{L}}_2$ \& ${\mathrm{L}}_3$. Then acute angle between lines La\& Lb is-