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
, ,