Let a be a vector which is perpendicular to the vector 3 i + (1/2) j + 2 k . If a (2 i + k ) = 2 i - 13 j - 4 k , then the projection of the vector a on the vector 2 i + 2 j + k is -

JEE Main 2022 Mathematics question

Let be a vector which is perpendicular to the vector . If , then the projection of the vector on the vector is -

Answer: (3)

Let . From : . Also $ × (2 + ) = + - -

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Question ID VK-034884