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?