If \( AC =2 i + j + k \) and \( BD =- i +3 j +2 k \) then the area of the quadrilateral ABCD is

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Mathematics Scalar and Vector Products Hard

If \(\overrightarrow{AC}=2\hat{i}+\hat{j}+\hat{k}\) and \(\overrightarrow{BD}=-\hat{i}+3\hat{j}+2\hat{k}\) then the area of the quadrilateral ABCD is

(A) \(\dfrac{5}{2}\sqrt{3}\)

(B) \(5\sqrt{3}\)

(C) \(\dfrac{15}{2}\sqrt{3}\)

(D) \(10\sqrt{3}\)

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Correct Solution: Option A

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