# Homework Help: Equations of Lines and Vectors

1. May 4, 2010

### spoc21

1. The problem statement, all variables and given/known data

Find the coordinates of three points on each of the following lines.
a. (x+2)/3=(y-1)/2=(z+5)/(-3)
x = -1 + 5t

b.y = 7 + t
z = 3 - 2t

2. Relevant equations

(x+2)/3=(y-1)/2=(z+5)/(-3)
x = -1 + 5t

y = 7 + t
z = 3 - 2t

3. The attempt at a solution

I'm guessing that they mean the (x,y,z) coordinates by saying "Find the three coordinates." I attempted a), and found the three coordinates to be (-3.5,0,-3.5), but am unsure if this is correct. I also am lost on how to attempt the second one, b).

any help is appreciated!

2. May 4, 2010

### tiny-tim

Hi spoc21!
No, I think they mean find any three points on the line.

For the second one, just use any three values of t.

3. May 4, 2010

### spoc21

Thanks tiny-tim,

so basically, I will need to find three points for each line (therefore use three different values for t) so that I get:

[x1, y1, z1]

[x2, y2, z2]

[x3, y3, z3]

Thanks again!

4. May 4, 2010

### Staff: Mentor

No, you should get specific points - with numbers, not variables.