Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

If \(\vec{a}\) and \(\vec{b}\) represent the adjacent sides of a triangle then its area is given as

Options:

\(\frac{1}{2}\left|\vec{a}\times \vec{b}\right|\)

\(\left|\vec{a}\times \vec{b}\right|\)

\(\vec{a}\cdot \vec{b}\)

None of these

Correct Answer:

\(\frac{1}{2}\left|\vec{a}\times \vec{b}\right|\)

Explanation:

Area \(=\frac{1}{2}\left|\vec{a}\times \vec{b}\right|\)