Write the coordinates of the point `P` which is five sixth of the way from `A(-2,0,6)to\ B(10 ,-6,-12)dot`

Explanation

Let `P (x, y, z)` be the required point, i.e., P divides AB in the ratio `5 : 1. `


Then,


`P(x,y,z)=((5 times 10+1 times (-2))/(5+1), (5 times (-6)+1 times 0)/(5+1), (5 times -12 + 1 times 6)/(5+1))`


`=(8,-5,-9)`