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Stewart_Calc_7ET ch12sec05
MULTIPLE CHOICE
1. Find an equation of the set of all points equidistant from the points and
a.
b.
c.
d.
e.
2. Find the distance between the planes.
a.
b.
c.
d.
e.
3. Identify the planes that are perpendicular.
a.
b.
c.
d.
e.
1
3
4. Find, correct to the nearest degree, the angle between the planes.
a.
b.
c.
d.
e.
none of these
5. Find the point at which the line given by the parametric equations below intersects the
plane.
a.
b.
c.
d.
e.
6. Find the distance (correct to two decimal places) between the given parallel planes.
a.
b.
c.
d.
e.
7. Find parametric equations for the line through the point that is parallel to the plane
and perpendicular to the line
a.
b.
c.
d.
e.
8. Find an equation of the plane with x-intercept , y-intercept and z-intercept .
a.
b.
c.
d.
e.
9. Which of the given lines is parallel to the line
a.
b.
c.
d.
e.
10. Find the distance between the point and the plane Round your
answer to two decimal place.
a.
b.
c.
d.
e.
NUMERIC RESPONSE
1. Find the equation of the line through and perpendicular to the plane
2. Find parametric equations for the line through and
3. Find an equation of the plane that passes through the line of intersection of the planes
and is perpendicular to the plane
4. Find parametric equations for the line through and parallel to the vector
5. Find the point of intersection.
6. Find an equation of the plane through the origin and parallel to the plane
7. Find an equation of the plane that passes through the point and contains the line
