Equations of Lines and Vectors

[spoc21]

Homework Statement

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

Homework Equations

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

y = 7 + t
z = 3 - 2t

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!

 

[tiny-tim]

Hi spoc21!

Find the coordinates of three points on each of the following lines.
…
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).

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

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

 

[spoc21]

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.

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!

 

[Mark44]

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