Determine the magnitude and the ordered pair that represents the vector from (18,3) to (-4,16). a. (22,-13); magnitude=25 c. (13,-22) magnitude=26 b. (-22,13); magnitude=25.6 d. (-13,22) magnitude=25.2

We have been given two points to find the vector representing the line joining the points from point (18,3) to (-4,16).
To get the vector required we arrange the points in column manner the solve it as below. 

vector AB = AO + OB
                   = OB - OA
From this, the required vector is

(-4,16) - (8,3) = (-22, 13)

And the magnitude of this vector would be, 

=√(-22)²+13²
=√653
=25.55.

Answer is, 
vector (-22,13); magnitude = 25.6
 

The answer on E2020 is B: (-22,13); magnitude=25.6