1. Let points A, B, C, and D be as follows: A=(3, 1, 2), B=(-1,3,5), C= (0, 2, 2), D =(4, 5, 1)a) Find the equation of the plane that passes through points A, B, and C.Express your answer in the form: a(x-x)+b(y-y)+c(z-z₁)=0, where (a, b, c) are the components of thenormal vector and (xo, Yo-Zo) are the coordinates of a point in the plane.b) Find the exact value of the distance between point D and the plane passing through the points A, B, and C. (this isthe plane you found in part a)

The distance of a plane is defined as the algebraic expression that gives the pairs of points in the…

1. Let points A, B, C, and D be as follows: A=(3, 1, 2), B=(-1,3,5), C= (0, 2, 2), D =(4, 5, 1) a) Find the equation of the plane that passes through points A, B, and C. Express your answer in the form: a(x-x₂)+b(y-y₂)+c(z-z₁)=0, where (a, b, c) are the components of the normal vector and (x. Yo-Zo) are the coordinates of a point in the plane. b) Find the exact value of the distance between point D and the plane passing through the points A, B, and C. (this is the plane you found in part a)