CUET · MATHS · PYQ PAPER 2025
The area of triangle with vertices \(P, Q, R\) is given by (where \(\overrightarrow{A B}=\) position vector of point \(B-\) position vector of point \(A\) )
- A \(\frac{1}{8}|\overrightarrow{P R} \times \overrightarrow{P Q}|\)
- B \(\frac{1}{4}|\overrightarrow{P R} \times \overrightarrow{P Q}|\)
- C \(\frac{1}{2}|\overrightarrow{P Q} \times \overrightarrow{P R}|\)
- D \(|\overrightarrow{P Q} \times \overrightarrow{P R}|\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{2}|\overrightarrow{P Q} \times \overrightarrow{P R}|\)
Step-by-step Solution
Detailed explanation
Area \( = \frac{1}{2} | \overrightarrow{P Q} \times \overrightarrow{P R} | \)
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