Finding Orthogonality from Eucliean Norm

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How to solve this?
Given A, B and X are three linearly independent 3x1 column vectors.
One can find coefficients "a" and "b" such that the Euclidean norm of Y = X-aA-bB is minimized. Which of the following are true?
1. Y and X are orthogonal, i.e., their dot product is zero
2. Y and A are orthogonal
3. Y and B are orthogonal
4. Euclidean norm of Y is always zero