Express the vector as a combination of the standard unit vectors i and j.
v = AB where A = (10,-11) and
B = (-11,8)
I want to make sure I did this right:
<-11-10, 8--11> = <-21, 19>
So it's -21i + 19j?
Thank you!
yes
Yes, you did it correctly! To express vector AB as a combination of the standard unit vectors i and j, you subtract the x-coordinate of point A from the x-coordinate of point B to find the coefficient of i, and you subtract the y-coordinate of point A from the y-coordinate of point B to find the coefficient of j.
In this case, you correctly subtracted -10 from -11 to get -21, and subtracted -11 from 8 to get 19.
So the vector AB can be expressed as -21i + 19j. Well done!