JEE Main 2024 Mathematics question
Not in JEE syllabus
Let the position vectors of the vertices A, B and C of a triangle be , and respectively. Let ℓ₁, ℓ₂ and ℓ₃ be the length of perpendicular drawn from the ortho center of the triangle on the sides AB, BC and CA respectively, then ℓ₁² + ℓ₂² + ℓ₃² equals :
Answer: (A)
Solution
AB = BC = CA = √2, so the triangle is equilateral and the orthocentre coincides with the centroid O = (5/3, 5/3, 5/3). With M
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