Can we express a point in this plane in terms of two parameters?

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\(A, B, C\) are points of three-dimensional space with coordinates \((1, 0, 3), (-1, -4, 7)\) and \((3, 3, -3)\) respectively.

Find

1. the magnitude of the angle \(BAC\);

2. expressions for the coordinates of any point of the plane \(ABC\) in terms of two parameters \(s\) and \(t\).