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

Calculus II - Assignment Problems
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The 3-D Coordinate Systems Previous Section   Next Section Equations of Planes

 Equations of Lines

 

For problems 1  4 give the equation of the line in vector form, parametric form and symmetric form.

 

1. The line through the points  and .  

 

2. The line through the point  and parallel to the line given by .

 

3. The line through the point  and parallel to the line given by , , .

 

4. The line through the point  and orthogonal to both  and .

 

For problems 5  7 determine if the two lines are parallel, orthogonal or neither. 

 

5. The line given by  and the line given by .

 

6. The line through the points  and  and the line given by , , .

 

7. The line given by , ,   and the line given by .

 

For problems 8  10 determine the intersection point of the two lines or show that they do not intersect.

 

8. The line passing through the points  and  and the line given by .

 

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

 

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

 

11. Does the line passing through  and  intersect the yz-plane?  If so, give the point.

 

12. Does the line given by  intersect the xz-plane?  If so, give the point.

 

13. Which of the three coordinate planes does the line given by , ,  intersect?  

 

The 3-D Coordinate Systems Previous Section   Next Section Equations of Planes
Vectors Previous Chapter  

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

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