Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:
Direction cosines of a line which makes equal angles with co-ordinate axis are
Options:
\(\pm (1,1,1)\)
\(\pm \left(\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}}\right)\)
\(\pm \left(\frac{1}{3},\frac{1}{3},\frac{1}{3}\right)\)
\(\pm \left(-\frac{1}{\sqrt{3}},-\frac{1}{\sqrt{3}},-\frac{1}{\sqrt{3}}\right)\)
Correct Answer:
\(\pm \left(\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}}\right)\)
Explanation:
\(\cos^{2}\alpha+\cos^{2}\alpha+\cos^{2}\alpha=1\)