The area of a triangle with vertices A, B, C is given by
Answer & explanation
Correct answer: option 2
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 = $\frac{1}{2}|\vec{AB} \times \vec{AC}|$.