Question
If a line has direction ratios $- 18,12, - 4$ then what are its direction cosines ?
Three Dimensional Geometry — Class 12 Maths Solution
Step-by-step Solution
The given direction ratios are $< - 18,12, - 4 >$
As $\sqrt {{{( - 18)}^2} + {{(12)}^2} + {{( - 4)}^2}} = \sqrt {484} = 22,$
therefore , direction cosines of the line are
$< \cfrac{{ - 18}}{{22}},\cfrac{{12}}{{22}}, - \cfrac{4}{{22}} >$ i.e., $< - \cfrac{9}{{11}},\cfrac{6}{{11}},\cfrac{{ - 2}}{{11}} >$
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Three Dimensional Geometry. Curated by Sachin Sharma. Free for all students.