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

Calculus II - Practice Problems
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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]

 

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

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