identify the direction vector and a point on each of the following lines.
a. r= (3,4) + t(2,1), tER
I tried posting before but no one answered, thanks for your help :)
a. r= (3,4) + t(2,1), tER
I tried posting before but no one answered, thanks for your help :)

The vector that comes right next to the "t" is the direction vector. So your answer is (2,1) :)
(As simple as that)
Since it is a line in its parametric form (don't worry about the entangling wording), it doesn't matter which value of "t" you use. The easiest one is using t = 0, and then you get that (3,4) is a point on that line.
Again, fairly simple :)
If you want another point, substitute a different value of t, let's say... t=2.. Then
r = (3,4) + 2 ( 2,1) = (3,4) + (4, 2) = (3+4, 4+2)
So, r = (7,6) is another point on that line. (you can literally use any value for "t")
(As simple as that)
Since it is a line in its parametric form (don't worry about the entangling wording), it doesn't matter which value of "t" you use. The easiest one is using t = 0, and then you get that (3,4) is a point on that line.
Again, fairly simple :)
If you want another point, substitute a different value of t, let's say... t=2.. Then
r = (3,4) + 2 ( 2,1) = (3,4) + (4, 2) = (3+4, 4+2)
So, r = (7,6) is another point on that line. (you can literally use any value for "t")