Consider the points A₁ (3, 1,4), A₂(-1,6,1), A3(-1,1,6), A4 (0,4,-1). A. Find the equations of the following objects: a. the plane A₁ A₂ A3, b. the line A₁ A₂, c. the line AM perpendicular to the plane A₁ A₂ A3, d. the line A3N parallel to the line A₁ A₂, e. the plane : A4 € , & 1 (line A₁ A₂). B. Calculate: a. sin 0, where is the angle between the line A₁A4 and the plane A₁A₂A3, b. coso, where is the angle between the coordinate plane z = 0 and the plane A₁A₂A3.