Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

The projection of a vector on the three coordinate axes are \(6,-3,2\) respectively then the direction cosine of the vector are

Options:

\(6,-3,2\)

\(\frac{6}{5},-\frac{3}{5},\frac{2}{5}\)

\(\frac{6}{7},\frac{-3}{7},\frac{2}{7}\)

\(\frac{-6}{7},\frac{3}{7},\frac{-2}{7}\)

Correct Answer:

\(\frac{6}{7},\frac{-3}{7},\frac{2}{7}\)

Explanation:

divide each by \(\sqrt{6^2+(-3)^2+2^2}\)