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Quick way to draw phasor diagrams

I'm looking for a method to draw phasor diagrams quickly for a fraunhoffer diffraction pattern for a number of slits. In particular drawing phasor diagrams for subsidary maxima and zeros. I know the mathematical way of doing this, but I am rather keen not to be solving a load of annoying cosine equations, and just want to write them down.

Obviously for some examples its easy, like a principal zero in a triple slit diffraction pattern is just three arrows at 120 degrees to each other. But something like the 2nd zero in a five slit is a little harder.