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

1