Question

The equations of a line is 5x-3 = 15y +7 = 3-10z. Write the direction cosines of the line.

Answer 1

Here is the answer to your query.

The equation of the line is 5x−3=15y+7=3−10z.The equation of the given line in standard form is x−3515=y−(−715)115=z−310−110⇒x−353=y−(−715)1=z−310−2The direction ratios of the given line are 3, 1, −2.∴The direction cosines of the given line are39+1+4√, 19+1+4√, −29+1+4√or 314√, 114√, −214√