The meeting point of the angled front wheels will always intersect the line from the rear wheels.
All that happens as the vehicle changes dimension is that the turning circle becomes larger, or smaller. The Volvo series (140, 240 etc) of cars were known for being easy to manoeuvre due to the angle the front wheels would turn to.
There will always be a meeting point and it defines how the car turns and also helps set up things like the Ackermann steering angle: that the inner wheel of the turn is at a greater angle than the outer to reduce scrubbing.
One point to consider is that the meeting point should be the same distance on either side of the car, one thing that is checked (by good body shops) when dealing with chassis damage after an accident. Some have driven cars or vans that feel like they are "crabbing" down the road...
There are some good books about this, one to start you off is Fundamentals of Vehicle Technology by Hillier & Pittuck.
Edit: One of our questions at college during the apprenticeship was to calculate the angle of the inner wheel, given the wheelbase, track and turning angle of the outer wheel. A scale drawing was all that was needed. Mark the points of the wheelbase and track, extend the centreline of the rear wheels, locate to point where the outer wheel intersects and then draw the line for the inner wheel and measure the angle. Plus or minus 1 degree was allowed for the result so you had to be careful with the scale and quality of drawing.