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?