This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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....
View
Full Document
 Spring '08
 Paris
 Calculus, Equations, Euclidean geometry, Parametric equation

Click to edit the document details