Question

Are These Vectors Parellel?
u = <9, 3>, v = <36, 12>

Answer 1

If they are parallel, then they will be constant multiples of one another.

How can we change the 36 to 9? Let's divide a 4 out of it.
We'll also take the 4 out of the 12, if the 12 gives us a 3 while the 36 gives us a 9, then they are parallel.\[\large \vec u=<9,3>, \qquad \vec v=4<9,3>\]Understand what I did there?
I factored a 4 out of each component in vector v.

Answer 2

We can clearly see that V is 4 times U.
It's a CONSTANT MULTIPLE of U.
V=4U

Answer 3

ohhh so just factor each vector and that is how you get your answer! So they are parellel since you were able to factor the same vector! right?

Answer 4

Yes, good! :D

Answer 5

Thank you so mcuh!