14. Find the vector and scalar equations for the plane through \( A(1,0,10), B(5,-5,3) \), and \( C(8,8,2) \). [6 marks]
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To find the vector equation of the plane, we first need two vectors that lie on the plane. We can get these by subtracting the coordinates of the given points. Let's use points A, B, and C for this. We can form vectors AB and AC as follows: - Vector AB = B - A = Show more…
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