Let O be the origin and OA = 2 i + 2 j + k , OB = i - 2 j + 2 k and OC = 1 2 ( OB - OA ) for some > 0. If | OB OC | = 9 2 , then which of the following statements is (are) TRUE ?

JEE Advanced 2021 Mathematics question

Let be the origin and , and for some . If , then which of the following statements is (are) TRUE ?

(A)Projection of on is Correct
(B)Area of the triangle is Correct
(C)Area of the triangle is Correct
(D)The acute angle between the diagonals of the parallelogram with adjacent sides and is

Answer: (A),(B),(C)

, of magnitude 9. , so and . (A)

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Question ID VK-033939