Write the direction cosines of the line whose cartesian equations are 6x – 2 = 3y + 1 = 2z – 4.

We have


6x – 2 = 3y + 1 = 2z – 4


The equation of the given line can be re-written as,




The direction ratios of the line parallel to AB are proportional to 1,2,3


The direction cosines of the line parallel to AB are proportional to


, ,


, ,


1