Direction ratios: $$a, b, c$$
Direction cosines: $$ l = \frac{a}{\sqrt{a^2 + b^2 + c^2}}, \quad m = \frac{b}{\sqrt{a^2 + b^2 + c^2}}, \quad n = \frac{c}{\sqrt{a^2 + b^2 + c^2}} $$
with $$ l^2 + m^2 + n^2 = 1 $$.
Sign in
Please select an account to continue using cracku.in
↓ →
CAT Formulas
Three Dimensional Geometry
Direction cosines and ratios
Direction ratios: $$a, b, c$$
Direction cosines: $$ l = \frac{a}{\sqrt{a^2 + b^2 + c^2}}, \quad m = \frac{b}{\sqrt{a^2 + b^2 + c^2}}, \quad n = \frac{c}{\sqrt{a^2 + b^2 + c^2}} $$
with $$ l^2 + m^2 + n^2 = 1 $$.
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation