MVC
Quiz #2
NAME:
Show all appropriate work and thinking to receive full credit.
Calculator allowed. Explain briefly how you are using your calculator.
#1(4 pt's) Write the parametric equations of the line that is parallel to the vector m  (3, 2, 1) and
goes through the point (1, 2, 2) .
#2(5 pt’s) Write the equation of the plane that is parallel to the plane 3x  2 y  9 and contains the
point (2, 2, 1) .
#3(6 pt's) Find the parametric equations of a line that is perpendicular to the line given by
 x  2t  1

 y  t  1 and is in the plane given by 4 x  2 y  z  0 .
 z  t 3
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#4(6 pt's) Determine whether there is a plane that contains the two lines
 x  3t

 y  2t  1 . If so, find the equation of this plane. If not, explain.
 z  4t  3
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 x  3t  3

 y  2t  1 and
 z  4t  2
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#5(5 pts) Determine whether the three planes given below intersect in a line or a single point. Then
find the point or the parametric equations of the line.
3x  2 y  1

 4 y  3z  1
 2x  z  1
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