JEE Main 2026 Mathematics question
Let a line L passing through the point (1, 1, 1) be perpendicular to both the vectors 2î + 2ĵ + k̂ and î + 2ĵ + 2k̂. If P(a, b, c) is the foot of perpendicular from the origin on the line L, then the value of 34(a + b + c) is:
Answer: (C)
Solution
The direction is (2, 2, 1) × (1, 2, 2) = (2, −3, 2). The foot of the perpendicular from the origin to (1,
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