Question

The line segment joining the points (8,-1) and (-6,5) is insected. the coordinates of point of trisection are

Answer 1

Answer:

(6,−4,−2)

Step-by-step explanation:

Given coordinates of P as (4,2,−6) and Q as (10,−16,6)

Let R and S be the points of trisection of line segment PQ.

Then R divides PQ in the ratio 1:2 and S is the mid-point of RQ.

Let the coordinates of R be (x,y,z)

By using section formula,

x=

1+2

1(10)+2(4)

,y=

1+2

1(−16)+2(2)

,z=

1+2

1(6)+2(−6)

⇒x=

3

18

,y=

3

−12

,z=

3

−6

⇒x=6,y=−4,z=−2

So, the coordinates of R are (6,−4,−2)