Consider the triangle AABC formed by the points A(0, 1, 1), B(1, 1, 4), and C(-2,...

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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 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. 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.