Which of the following statements are correct? (A) If a and b represent the adjacent sides of a triangle, then its area is 1 2| a × b| (B) If a and b…

Which of the following statements are correct?

(A) If $\vec{a}$a and $\vec{b}$b represent the adjacent sides of a triangle, then its area is $\frac{1}{2}|\vec{a} \times \vec{b}|$21​∣a×b∣

(B) If $\vec{a}$a and $\vec{b}$b represent the adjacent sides of a parallelogram, then its area is $|\vec{a} \times \vec{b}|$∣a×b∣

(C) $|\vec{a} \times \vec{b}| = |\vec{a}| |\vec{b}| \cos\theta$∣a×b∣=∣a∣∣b∣cosθ

(D) If $\vec{a}$a and $\vec{b}$b represent the 'diagonals' of a parallelogram, then its area is $\frac{1}{2}|\vec{a} \times \vec{b}|$21​∣a×b∣

Choose the correct answer from the options given below: