Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

A directed line segment angles α, β, γ with the coordinate axes. The value of ∑ cos 2α is always equal to :

Options:

-1

1

-2

2

Correct Answer:

-1

Explanation:

$\sum \cos 2 \alpha=\sum\left(2 \cos ^2 \alpha-1\right)$

$=2 \sum \ell^2-3$

$=-1$