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Consider the triangle AABC formed by the points A(0, 1, 1), B(1, 1, 4), and C(-2, 5, 1). (a) Compute AB AC by using
Consider the triangle AABC formed by the points A(0, 1, 1), B(1, 1, 4), and C(-2, 5, 1). (a) Compute AB AC by using both methods of finding the cross product: expanding the products with the coordinate vectors, and by using Sarrus's Rule with a pseudo-determinant. (b) Using your answer from (a), determine both unit normal vectors to the plane of the triangle. Furthermore, assuming the y-axis is the vertical axis, indicate which normal vector points above the plane and which points below the plane.
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