Confirmation on Linear Algebra Question

[vg19]

Hi, Id just like to make sure that I did this question correctly. Find the two points trisecting the segment between P(2,3,5) and Q(8,-6,2).

I drew a simple diagram and put two points inbetween P and Q, named X and Y. I then saw X was 1/3 from P and Y was 2/3 from P.

So I found vector PQ = (6,-9,-3) and said
X = (2,3,5) + 1/3(6,-9,-3)
= (4,0,4)

Y = (2,3,5) + 2/3(6,-9,-3)
= (6,-2,-3)

Are these the two points?

Thanks!

 

[CarlB]

I think you have an arithmetic error in the y term of your second point.

Carl

 

[HallsofIvy]

And also in the z component.

Your method is correct.