SOLUTION: Find the coordinates of P on AB such that PB=1/3AB given A(5, 7, 2) and B(8, 19, 11)

Algebra ->  Points-lines-and-rays -> SOLUTION: Find the coordinates of P on AB such that PB=1/3AB given A(5, 7, 2) and B(8, 19, 11)      Log On


   

Question 1164575: Find the coordinates of P on AB such that PB=1/3AB given A(5, 7, 2) and
B(8, 19, 11)
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!


You want PB to be 1/3 of the total length of AB; that means P is 2/3 of the way from A to B.

So, for each coordinate separately, find the value that is 2/3 of the way from the coordinate for A to the coordinate for B.

For example, from A to B the x coordinate changes from 5 to 8, a change of 3. 2/3 of that change is 2, so the x coordinate of P is 5+2=7.

Then do the same for the y and z coordinates.

Answer by ikleyn(52903) About Me  (Show Source):
You can put this solution on YOUR website!
.

Go

    %282%2F3%29%2A%288-5%29 = 2 units along the x-axis from A;

    %282%2F3%29%2A%2819-7%29 = 8 units along the y-axis from A;

    %282%2F3%29%2A%2811-2%29 = 6 units along the z-axis from A.


Your destination point is  P = (5+2, 7+8, 2+6) = (7,15,8).      ANSWER