Using Mathematica language

Suppose a persons eye is at the point E(1, 2, 1) and there is an opaque triangular plate with vertices A(2, 3, 4), B(1, 4, 5), C(3, 3, 3).

1. (15 points) Using Mathematicas plotting commands, determine whether the point P (5, 7, 13) is hidden from view by the plate or not. You will need the Mathematica functions to draw a polygon, namely Graphics3D and Polygon and also the function ParametricPlot3D to draw the line.

2. (10 points) Using purely algebraic methods (no plots), determine whether P (5, 7, 13) is hidden from view or not.