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Calculus II (Assignment Problems) / 3-Dimensional Space / Equations of Planes   [Notes] [Practice Problems] [Assignment Problems]

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Paul
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  

Calculus II (Assignment Problems) / 3-Dimensional Space / Equations of Planes    [Notes] [Practice Problems] [Assignment Problems]

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