Class 12

Math

3D Geometry

Three Dimensional Geometry

The equations of a line are $24−x =2y+3 =1z+2 $. Find the direction cosines of a line parallel to this line.

The given equations is $24−x =2y+3 =1z+2 $

$−2x−4 =2y+3 =1z+2 $

The direction ratios of this line are $−2,2,1$

The direction ratios of a line parallel to this line are $−2,2,1$

and $(−2)_{2}+(2)_{2}+(1)_{2} =9 =3$

The direction cosines of a line parallel to the given line are $3−2 ,32 ,31 $.