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Unformatted text preview: the sphere x 2 + y 2 + z 2 = 5. 6. (8 points) Determine symmetric equations for the line in R 3 through the points P(6,1,3) and Q(2,4,5). 7. (8 points) Find an equation of the plane through the point (1,6,5) and parallel to the plane x + y + z + 2 = 0. 8. (8 points) Find parametric equations of the line of intersection of the planes 3 x 2 y + z = 1 and 2 x + y 3 z = 3. Page 4 of 4 9. (8 points) Determine whether the lines L 1 and L 2 given below are parallel, skew, or intersecting. If they are intersecting, find the point of intersection. L 1 : 3 2 2 1 2 = = + z y x L 2 : 2 1 3 2 4 3 = = z y x 10. (8 points) Find an equation of the plane that passes through the point (1,2,3) and contains the line x = 3 t , y = 1 + t , z = 2 t . 11. (8 points) Find the distance from the point (6,3,5) to the plane x 2 y 4 z = 10....
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This note was uploaded on 03/14/2011 for the course MAC 2313 taught by Professor Paris during the Spring '08 term at FSU.
 Spring '08
 Paris
 Calculus

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