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JEE Main 2022 Mathematics question

MathematicsVector AlgebraJEE Main 2022

Let , , i = 1, 2, 3 be vector which makes equal angles with the coordinate axes OX, OY and OZ. Also, let the projection of on the vector be 7. Let be a vector obtained by rotating with 90°. If , and x-axis are coplanar, then projection of a vector on is equal to :

Answer: (2)

Solution

Equal angles give cos , so with . The projection on is ( + 4)/5 = 7, so and . Let $ = p + q

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Question ID VK-024997