The coordinates of the point where the line through the points A(5, 1, 6) and B(3, 4, 1) crosses the yz-plane is
We first need to find the equation of a line passing through the two given points
taking fixed point as
and the parallel vector will be
equation of the line in cartesian form
Assume above equation to be equal to k, a constant
And y-z plane have x-coordinate as zero we may get
Now we can find y and z
The coordinate where the line meets y-z plane is