Target Exam

CUET

Subject

Section B1

Chapter

Vectors

Question:

The area of a triangle with vertices A, B, C is given by

Options:

$|\vec{AB} \times \vec{AC}|$

$\frac{1}{2}|\vec{AB} \times \vec{AC}|$

$\frac{1}{4}|\vec{AC} \times \vec{AB}|$

$\frac{1}{8}|\vec{AC} \times \vec{AB}|$

Correct Answer:

$\frac{1}{2}|\vec{AB} \times \vec{AC}|$

Explanation:

The correct answer is Option (2) → $\frac{1}{2}|\vec{AB} \times \vec{AC}|$ ##

The area of the parallelogram with adjacent sides AB and AC = $|\vec{AB} \times \vec{AC}|$. Hence, the area of the triangle with vertices A, B, C = $\frac{1}{2}|\vec{AB} \times \vec{AC}|$.