Question

Can someone check my answer

Answer 1

This is the question

Answer 2

I got vector V/2

Answer 3

as W

Answer 4

First off, what is vector u+v ?

Answer 5

[0 6 -7]^t

Answer 6

yep

Answer 7

so the midpoint of (-1,4,-4) and (0,6,7) is what point?

Answer 8

ok ya about that, do we add the vectors and then divide by two or subtract?

Answer 9

right now I just want the midpoint, so use the midpoint formula

Answer 10

we never learned the midpoint formula. can you tell me it please?

Answer 11

oh wait I dont know I over thought of the formula lol

Answer 12

you add up the corresponding coordinates and divide by 2

in the case of (-1,4,-4) and (0,6,7), we add up the x coordinates to get

-1+0 = -1

then we divide that result by 2

-1/2 = -0.5

so the x coordinate of the midpoint is -0.5
Do the same for the other coordinates

Answer 13

M(U+V)=(-1/2, 5, 3/2)

Answer 14

So that is the midpoint of (-1,4,-4) and (0,6,7). Good

Answer 15

That's where the tail of w is

Answer 16

find the midpoint of (1,2,-3) and (-1,4,-4) to find where the tip of w is

Answer 17

(0, 3, -7/2)

Answer 18

yep

Answer 19

then compute

vector w = (tip point of w) - (tail point of w)

Answer 20

oh wait, I made a typo when I computed u+v. I'm just noticing that now

Answer 21

u + v = <0;6;-7>

when for some reason I lost the negative on the 7

Answer 22

oh ya I shouldve payed attention do that as well. sorry about that

Answer 23

Did u get [1/2 0 2]^T?

Answer 24

oh wait I made a mistake, it should have been [1/2 -2 2]^T

Answer 25

well thanks for helping me :D

Answer 26

Tip point of W = (0,3,-3.5)
Tail point of W = (-0.5, 5, -5.5)


w = tip - tail = (0,3,-3.5) - (-0.5, 5, -5.5)
w = tip - tail = (0-(-0.5), 3-5, -3.5-(-5.5))
w = tip - tail = (0.5, -2, 2)


So w is the vector <0.5; -2; 2> or <1/2; -2; 2>

Answer 27

`it should have been [1/2 -2 2]^T`

correct