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Paul
August 7, 2018

Calculus II - Assignment Problems
 Vectors Previous Chapter 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

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