Given that p(3,2,-4) , Q (5,4, -6) and R (9,8,-10) are collinear find the ratio in which Q divides PR

Answer

N/a

Explanation

Let point Q(5,4,-6) divides the line segment joining the points P(3,2,-4) and R(9,8,-10) in the ratio `k : 1`.
`therefore 5=(k(9)+1(3))/(k+1)`
`5k+5=9k+3 implies k=(1)/(2)`
`4=(k(8)+1(2))/(k+1)`
`implies 4k+4=8k+2 implies k=(1)/(2)`
`-6=(k(-10)+1(-4))/(k+1)`
`-6k 6= -10k-4 implies k-(1)/(2)`
`therefore` Required ratio = 1 : 2