On the xy-coordinate plane, point O is the origin. Suppose vector OE=(3,8) and vector OF=(-2,-4). What ordered pair represents vector EF?
I tried graphing them but they don't even end up in the same quadrant.
Not sure what to do..
if v(OE) = (3,8), then v(EO) = (-3,-8)
so v(EF) = v(EO) + v(OF)
= (-3,-8) + (-2,-4) = (-5,-12)
To find the vector EF, you need to subtract the coordinates of point E from the coordinates of point F.
Given that vector OE = (3, 8) and vector OF = (-2, -4), we can calculate vector EF as follows:
EF = OF - OE
To subtract two vectors, we subtract their corresponding components.
So, EF = (OFx - OEx, OFy - OEy)
Now, let's calculate EF:
OFx = -2, OEx = 3, OFy = -4, OEy = 8
EF = (-2 - 3, -4 - 8)
Simplifying the subtraction:
EF = (-5, -12)
Therefore, the ordered pair (-5, -12) represents vector EF.