That's exactly what I would do.
The question I am working on is:
given vectors u = (t, t+1) and v = (3, -4),
Find all values of t if the given vectors are parallel.
I have had a go at this but not sure if I have done the right thing.
I have set (t, t+1) = k(3,-4) since they are parallel.
This gives me t=3k and t+1 =-4k
I have then solved simultaneously and got an answer of t=-3/7
Can anyone give me an idea if I have done the right thing here, I am thinking maybe there is more to this and I have missed something, especially since the question asks for all values of t.