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

Calculus II - Practice Problems
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For problems 1 & 2 give the equation of the line in vector form, parametric form and symmetric form.

 

1. The line through the points  and .   [Solution]

 

2. The line through the point  and parallel to the line given by , , [Solution]

 

3. Is the line through the points  and  parallel, orthogonal or neither to the line given by ?   [Solution]

 

For problems 4 & 5 determine the intersection point of the two lines or show that they do not intersect.

 

4. The line given by , ,   and the line given by . [Solution]

 

5. The line passing through the points  and  and the line given by . [Solution] 

 

6. Does the line given by , ,  intersect the xy-plane?  If so, give the point. [Solution]

 

7. Does the line given by , ,  intersect the xz-plane?  If so, give the point. [Solution]

 

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

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