Name: Date: 7. A rectangular prism measuring 3 by 4 by 5 is drawn on a coordinate axis as shown in the diagram. Show all your work. (C/4) a. Determine the coordinates of the point C, P. E and F. ( D ( 0 , 0 , 5 ) (K/4) o (0, 0, 0) A(3, 0, 0) B ( 3, 4, 0) b. Determine the position vectors for DB and CF . (HINT: Write the vectors in their coordinate/component form, i.e. (a, b, c)). (A/4) c. Determine the direction cosines of the vector OP. (T/3) d. Determine the direction angles of the vector OP. (K/3)