QP9

A terahedron has its vertices located at the four points A, B, C, D where the coordinates of these points are given by

A  =  ( 0, 0, 0 )

B  =  ( 1cm, 0, 0 )

C  =  ( 0, 2cm, 0 )

D  =  ( 0, 0, 3cm )

 

(1 point )  (a) It takes a fly 5 seconds to walk with constant speed along the edge from B to C. What are the velocity and speed of the fly?

(1 point )  (b) Find the area of the side with vertices B, C and D.

(2 points) (c) If the bug then flies from point C with a constant speed of 3  for 7 seconds along the direction that is perpendicular
                             to the face BCD, what is its final position?.