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How to find the normal vector in high school mathematics? (It is better to have examples instead of cross product method)
Let n(x, y, z) be the plane normal vector, then n is perpendicular to all vectors in the plane. On the plane, take two unknown line vectors A, B, A and B and multiply them by n points respectively to get two ternary linear equations, assign values to X (or both Y and Z can be used), and then you can solve Y and Z to get N (not unique, determined by the values just assigned).