Geometry problem: Find vectors for translations of triangles

[Kiroy]

I have a problem on my Geometry worksheet which is giving me a lot of trouble. Here it is below:

Look at the diagram shown. Write down the vector for each of the following translations:

a. triangle 1 to triangle 2

The diagram is shown as a coordinate plane with 7 triangles, all labeled between 1-8 excluding 7. There are more translations, but if you can help me with just this one, I think I can do the rest. I haven't done any work because I do not understand what a vector is, and how they want it done...

triangle 1's corners are located at (-3,-1), (-3,-2), (-1,-2).

Triangle 2's corners are located at (1,4), (1,5), (3,4).

I have been looking for help everywhere on the internet but I am finding this complex stuff. I don't think this problem is to complicated, I just need to know what they are asking me. I understand what a translation is, but I don't know what a vector is...

I did find something tell me its a line with an arrow at the end showing movement and direction. If so, do I just simply use an arrow from triangle 1 pointing to triangle 2?

 

[pka]

The vector <4,6> is the answer.
Apply it to each of the first set of vertices to get the second set.
Do you see how it works?

 

[Kiroy]

I believe I do understand.

So if the next one on my sheet is triangle 1 to triangle 3, and the coordinates of triangle 3 are:

(3,2), (5,2), and (3,3)

than the answer would be <6,4>

correct?

Also, do you have to use these: <> Or can you use parenthesis? I don't know if it matters, lol.

Thanks for the help btw.