Question

Find the co-ordinaties of points which trisets the line
segment joining
the points A(2,-2) and B(-7,A)​

Answer 1

Answer:

Consider the problem

Let,

the points of intersection

P(x 1,y 1,z 1) and Q(x 2 ,y 2,z 2 )

then,

P divides AB in the ratio 1:2

And

Q divides AB in the ratio 2:1

therefore,

(x 1,y 1,z 1 )=( 35+4, 3−8+2, 33−6 )

(x 1,y 1,z 1 )=(3,−2,−1)

(x 2,y 2 ,z 2 )=( 310+2 , 3−16+1 , 36−3 )

(x 2,y 2,z 2)=(4,−5,1)

therefore,

Points which trisects the line AB are (3,−2,−1) and (4,−5,−1)