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August 7, 2018

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

## Equations of Planes

For problems 1  5 write down the equation of the plane.

1. The plane containing the points ,  and

2. The plane containing the point  and orthogonal to the line given by , , .

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

4. The plane containing the point  and containing the line given by .

5. The plane containing the two lines given by   and .

For problems 6  8 determine if the two planes are parallel, orthogonal or neither.

6. The plane given by  and the plane given by .

7. The plane given by  and the plane containing the points ,  and .

8. The plane given by  and the plane given by .

For problems 9  11 determine where the line intersects the plane or show that it does not intersect the plane.

9. The line given by  and the plane given by .

10. The line given by  and the plane given by .

11. The line given by , ,  and the plane given by .

For problems 12 & 13 find the line of intersection of the two planes.

12. Find the line of intersection of the plane given by  and the plane given by .

13. Find the line of intersection of the plane given by  and the plane given by .

14. Determine if the line given by , ,  and the plane given by  are parallel, orthogonal or neither.

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

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