points on a plane.

[hayood]

Let P be the point (1, 3, 7). If the point (4, 0,-6 ) is the midpoint of the line segment connecting P and Q, what is Q?

 

[tutor_joel]

This is pretty straight forward. You know how to find the midpoint in 2 dimensions? It's the same in 3D except you now have a z component.

 

[JuicyBurger]

Let P be the point (1, 3, 7). If the point (4, 0,-6 ) is the midpoint of the line segment connecting P and Q, what is Q?

\(\displaystyle P = (1, 3, 7)\)
\(\displaystyle M = (4, 0, -6)\)
\(\displaystyle Q = (X, Y, Z)\)

Q is unknown, so use the midpoint formula to solve for each point...

\(\displaystyle \frac{P}{Q} = M\)

\(\displaystyle \frac{X+1}{2} = 4\)

\(\displaystyle \frac{Y+3}{2} = 0\)

\(\displaystyle \frac{Z+7}{2} = -6\)

 

[JuicyBurger]

hayood,

Next time try posting some of your work, or what you think you should do to atempt the problem if you are completely stuck. I'm giving you this freebie, but I won't be answering anymore without any work!

 

[hayood]

ok i am sorry..i have tried to do it but i didn't know i had to post my attempt..thanks a lot anyways

 

[garf]

Hi hayood!
May be this hint will be helpfull:
I worked just like tutorjoel did and I got (7, -3,-19),
garf

 

[hayood]

ya i got that too garf..thanks a lotttttt...you people are so nice and very helpful