- #1
Damned charming :)
- 63
- 0
I teach first year uni students and they don't seem to know what is a plane
and what is a line in 3d. I have been paid to make an online multiple choice
a prototype is given below. Any help would be appreciated
1)x+y=5
(a) has infinite solutions
examples of solutions are (-1,6), (0,5) , (1,4),(2,3) etc
(b) has a unique solution
2) x+y=0 could be represented by the parametric equation
(a) (0,5) + (-1,1)t
where t can take any value
(b) (0,5) + (1,1)t
where t can take any value
3) x+y =5 can be represented by
(1 1 |5)
4) x+y=5
(a) is a line
(b) is a plane
5) x+y+z=5
(a) Has infinite solutions
examples of solutions are (-1,0,6), (0,-1,6), (0,0,5),(1,0,4)
(b) Has a unique solution
6) x+y+z=5 could be represented by the parametric equation
(a) (5,0,0)+(-1,1,0)s + (-1,0,1)t
and what is a line in 3d. I have been paid to make an online multiple choice
a prototype is given below. Any help would be appreciated
1)x+y=5
(a) has infinite solutions
examples of solutions are (-1,6), (0,5) , (1,4),(2,3) etc
(b) has a unique solution
2) x+y=0 could be represented by the parametric equation
(a) (0,5) + (-1,1)t
where t can take any value
(b) (0,5) + (1,1)t
where t can take any value
3) x+y =5 can be represented by
(1 1 |5)
4) x+y=5
(a) is a line
(b) is a plane
5) x+y+z=5
(a) Has infinite solutions
examples of solutions are (-1,0,6), (0,-1,6), (0,0,5),(1,0,4)
(b) Has a unique solution
6) x+y+z=5 could be represented by the parametric equation
(a) (5,0,0)+(-1,1,0)s + (-1,0,1)t