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1. A plane passes through A(1, 2, 3), B(1, -1, 0) and C(2, -3, -4). Determine...

1. A plane passes through A(1, 2, 3), B(1, -1, 0) and C(2, -3, -4). Determine vector and parametric equations of the plane. You must show and explain all steps for full marks. Use AB and AC as your direction vectors and point A as your starting (x,y,z) value.

2. Determine if the point (4,-2,0) lies in the plane with vector equation (x, y, z) = (2, 0, -1) + s(4, -2, 1) + t(-3, -1, 2).

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