Question

Find coordinates of r which divide the join of the points p(0,0,0) and q(4,-1,-2) in ratio 1:2 externally and verify that p is mid point of rq.

Answer 1

Answer:

Step-by-step explanation:

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

x=-4;

y=+1;

z=2;

the coordinates of the point which divides the line joining the points p and q in the ratio 1:2

is r(-4,1,2)

finding the midpoint of rq

we get( (-4+4)÷2,(-1+1)÷2),(-2+2)÷2)

=(0,0,0)

=P

Hence p is the midpoint of line joining rq

But it is clear from the value of r