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

Question

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

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Answer

(d) $\frac{1}{2}|\overrightarrow{A B} \times \overrightarrow{A C}|$
Explanation: The area of the parallelogram with adjacent sides $A B$ and $A C=|\overrightarrow{A B} \times \overrightarrow{A C}|$. Hence, the area of the triangle with vertices $A , B , C =\frac{1}{2}|\overrightarrow{A B} \times \overrightarrow{A C}|$.

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