Class 12

Math

3D Geometry

Three Dimensional Geometry

If the equations of a line are $−33−x =−2y+2 =6z+2 $, find the direction cosines of a line parallel to the given line.

The given equation is $−33−x =−2y+2 =6z+2 $

Direction ratios of this line are $3,−2,6$

Direction ratios of a line parallel to this line are $3,−2,6$

and $3_{2}+(−2)_{2}+(6)_{2} =49 =7$

Direction cosines of a line parallel to the given line are $73 ,7−2 ,76 $