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.

u = (-2,-4,-5)
v = (-3, 5, -1)

answer: (2, -7, -3/2)

Question

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.

u = (-2,-4,-5) 
v = (-3, 5, -1)

answer: (2, -7, -3/2)

anonymous · Answer

To find halfway between u and v, calculate u-v and divide by 2. To find halway from u to u-v, calculate u-(u-v) and divide by 2.

Subtract the two points you get and there's your answer!

anonymous · Answer

ok ill try it, thanks!

anonymous · Answer

when you say divide by 2, do you mean multiply each number by 1/2?

anonymous · Answer

The answer is (2,-7, -3/2)
how do i get it?

anonymous · Answer

u = (-2,-4,-5) 
v = (-3, 5, -1)I don't know if I'm too late...

(u-v) = (1,-9,-4)
P=1/2(u-v) = (1/2,-9/2,-2)

u-(u-v) = (-3,5,-1)
Q=1/2(u-(u-v))=(-3/2,5/2,-1/2)

P-Q=(2,-7,-3/2)

Make sense?