How to find the $ x,y$ coordinates of a point in between $2$ points in $3$ dimension

32 Views Asked by At

Point $1 = (0,0,0)$ Point $2 = (5,6,7)$

Given that point $3$ have a $z$-coordinate of $3$, how can I find the $x,y$ coordinates of point $3$?

1

There are 1 best solutions below

1
On

Hint: All points between points $P_1$ and $P_2$ can be expressed as$$tP_1 + (1-t)P_2.$$