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A B C is a triangle and A=(235)dotB=(-1,...

`A B C` is a triangle and `A=(235)dotB=(-1,3,2)a n dC=(lambda,5,mu)dot` If the median through `A` is equally inclined to the axes, then find the value of `lambdaa n dmudot`

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To solve the problem, we need to find the coordinates \( \lambda \) and \( \mu \) for point \( C \) in triangle \( ABC \) such that the median through point \( A \) is equally inclined to the axes. ### Step-by-step Solution: 1. **Identify the Coordinates:** - Let \( A = (2, 3, 5) \) - Let \( B = (-1, 3, 2) \) - Let \( C = (\lambda, 5, \mu) \) ...
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