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Calculus II - Practice Problems
 Vectors Previous Chapter Equations of Lines Previous Section Next Section Quadric Surfaces

## Equations of Planes

For problems 1  3 write down the equation of the plane.

1. The plane containing the points ,  and [Solution]

2. The plane containing the point  and orthogonal to the line given by [Solution]

3. The plane containing the point  and parallel to the plane given by .  [Solution]

For problems 4 & 5 determine if the two planes are parallel, orthogonal or neither.

4. The plane given by  and the plane given by . [Solution]

5. The plane given by  and the plane containing the points ,  and . [Solution]

For problems 6 & 7 determine where the line intersects the plane or show that it does not intersect the plane.

6. The line given by  and the plane given by . [Solution]

7. The line given by  and the plane given by . [Solution]

8. Find the line of intersection of the plane given by  and the plane given by . [Solution]

9. Determine if the line given by , ,  and the plane given by  are parallel, orthogonal or neither. [Solution]

Problem Pane
 Equations of Lines Previous Section Next Section Quadric Surfaces Vectors Previous Chapter

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