# coordinates that trisect a line segment

• Jan 20th 2011, 02:28 PM
coordinates that trisect a line segment
this question I don't have much work to show. :

IF A is (3,6,8) and B is (6,0,-1). Find the points that trisect the line segment.

I thought I would do A+B(1/3) and A+B(2/3) didn't work correctly though. the correct answer is (4,4,5) and (5,2,2).

• Jan 20th 2011, 03:18 PM
skeeter
Quote:

this question I don't have much work to show. :

IF A is (3,6,8) and B is (6,0,-1). Find the points that trisect the line segment.

I thought I would do A+B(1/3) and A+B(2/3) didn't work correctly though. the correct answer is (4,4,5) and (5,2,2).

note the distance between the x-coordinates is 3 ... so, the x-coordinates for the other two points have to trisect this component length of 3. 3/3 = 1 ... the x-coordinates must be 4 and 5.

do the same for the y and z coordinates.

y-coordinates will be 6/3 = 2 units apart

z-coordinates will be 9/3 = 3 units apart
• Jan 21st 2011, 12:18 AM
Opalg
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