Write vector AB that goes from

point A (1,1,-4) to
point B (3,0,-1)

Do you just subtract the values of B from A?

<3-1,0-1,-1-4>

Whoops, I meant subtract the values of A from B.

Yes, that works

Yes, to find the vector that goes from point A to point B, we subtract the coordinates of point A from the coordinates of point B.

So, to find vector AB, we can subtract the values of B from A as you mentioned.

AB = B - A

= (3, 0, -1) - (1, 1, -4)

= (3-1, 0-1, -1-(-4))

= (2, -1, 3)

Therefore, the vector AB that goes from point A (1, 1, -4) to point B (3, 0, -1) is <2, -1, 3>.