p.ca I RST 2021-2022 Time Left:0:31:01 Marcia Moriah: Attempt 1 8. For the following set of parametric equations: x = t y = 5 z = 1-2t a. Explain how you know that this parametric equation represents a line in 3- space. b. Give two points on this line. c. Convert this parametric equation into vector form. Why is it not possible to put this in symmetric form? d. Select a third point in 3-space that is NOT on this line (any random point). Find the equation of the plane that goes through this point and the two point you found in b) e. Repeat step d using a different point plus the two points in b) to find a second plane f. Show that the parametric equation given at the start of the question represents the intersection of the two planes you just found. (i.e Solve the system of the two planar equations that you found in d) and e) )