JEE Main 2024 Mathematics question
Let , and , where O is the origin. If the area of the parallelogram with adjacent sides and is 15 sq. units, then the area (in sq. unit) of the quadrilateral OABC is equal to
Answer: (D)
Solution
The area of the parallelogram with sides OA and OC is |2a⃗ × 3b⃗| = 6|a⃗ × b⃗| = 15, so |a⃗ × b⃗| = 5/2. The area of the
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