Class 12

Math

3D Geometry

Three Dimensional Geometry

Find the direction cosines of the line $24−x =6y =31−z $.

It can be rewritten as $−2x−4 =6y =−3z−1 $

Here, drs of the line are $−2,6,−3$.

Now, $(−2)_{2}+6_{2}+(−3)_{2} =49 =7units$

Therefore, Dcs of the line are $−72 ,76 ,−73 $.