The answer is (3, -5). I hope this helped
Here the line passes through (0,0) and (1,3).
First we need to find the slope , and for that we need to use the following formula

On substituting the values from the point, we will get

Now we will use slope intercept form, which is

Where m is the slope and b is the y intercept
And on substituting the values of x and y from the point (1,3) and slope, m = 3, we will get


b =0
Substituting the values of m and b in the slope intercept form, we will get

Answer:
a)The component form is

b)The magnitude is √65
c) <2,14>
Step-by-step explanation:
Recall that:

We substitute the position vectors to get:

We subtract the corresponding components to obtain:

This gives:

This simplifies to:

The magnitude of a vector in the component form:

is

This means:

This simplifies to:


c) We have the vectors u = <4, 8>, v = <-2, 6>.
We want to find:
u+v
This implies that:
u+v=<4,8>+<-2,6>
We add the corresponding components to get;
u+v=<4+-2,8+6>
This simplifies to:
u+v=<2,14>