A=0,4 ,B=-2,0

Find the vector AB in ℝ2?

rude reiny

To find the vector AB in ℝ2, we can subtract the coordinates of point A from the coordinates of point B.

Given:
A = (0, 4)
B = (-2, 0)

We subtract the x-coordinate of A from the x-coordinate of B and the y-coordinate of A from the y-coordinate of B to get the vector AB:

AB = (xB - xA, yB - yA)

Using the given coordinates:

AB = (-2 - 0, 0 - 4)
= (-2, -4)

So, the vector AB in ℝ2 is (-2, -4).

if point A = (a,b) and point B = (c,d)

then vector AB = <c-a , d-b>

apply to your data
btw, how can you not know this elementary concept if you are studying vectors ??