JEE Main 2024 Mathematics question
Consider a ΔABC where A(1, 3, 2), B(−2, 8, 0) and C(3, 6, 7). If the angle bisector ∠BAC meets the line BC at D, then the length of the projection of the vector on the vector is:
Answer: (A)
Solution
AB = AC = √38, so D is the midpoint of BC: D = (1/2, 7, 7/2), = (−1/2,
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