If the equations of a line are find the direction cosines of a line parallel to the given line.

Given : A line

To find : Direction cosines of the line parallel to

Formula used : If a line is given by = = then direction cosines are given by , ,

The line is = =

Parallel lines have same direction ratios and direction cosines

Here l = 3 , m = -2 , n = 6

Direction cosines of the line = = is

, ,

= , , = , ,

= , ,

Direction cosines of the line parallel to the line = = is

, ,