Underlying problem: people don't want to pay teachers enough.
She left teaching for WFH, a ~40% total-comp increase, and a far better work environment. Turns out the skills and experiences a good teacher tends to accumulate are really valuable to companies.
This misses the point. To go along with your terminology, the problem is that the norm of the vector isn't large enough.
But calling it a vector in the first place is pretentious and unnecessary.