Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:
If \(\vec{a}\) and \(\vec{b}\) are two vectors, then angle between vectors \(\vec{a}+\vec{b}\) and \(\vec{a}\times \vec{b}\) is
Options:
\(0^{\circ}\)
\(60^{\circ}\)
\(90^{\circ}\)
\(120^{\circ}\)
Correct Answer:
\(90^{\circ}\)
Explanation:
\(\cos \theta=\frac{(\vec{a}+\vec{b})\cdot (\vec{a}\times \vec{b})}{|\vec{a}+\vec{b}||\vec{a}\times \vec{b}|}\)=0, so option (c) is correct