If →u and →v are the vectors below, find the vector →w whose tail is at the point halfway from the tip of →v to the tip of →u and whose head is at the point halfway from the tip of →u to the tip of →u−→v. Assume all vectors are in standard position.

→u = [−5,−5,−5] →v = [4,−3,4] →w = [0,0,0]

1 answer

the vector u-v is the vector from the tip of v to the tip of u.
You can see this, since v + u-v = u
so, the tip of u-v is the tip of u!

so, w = (u-v)/2