Find a vector that is perpendicular to the plane containing


Let A(2,-2,1), B(3,-1,2), C(3,- 1,1), D(4,- 3,4).

a. Find the area of the triangle determined by the points A, B, C.

b. Find the volume of the parallelepiped determined by A, B, C, D.

c. Find a vector that is perpendicular to the plane containing points A, B, and C.

d. Find the distance from the point D to the plane containing points A, B, and C.

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Mathematics: Find a vector that is perpendicular to the plane containing
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