I'm taking a multivariable calculus class online. For one of the homework assignments, we learned about trajectories and field vectors. The question displayed in the image is asking me about whether two trajectories of a vector field can ever cross each other. I don't think they can because when you differentiate a function at a certain point you only get one derivative, so you would only have one vector at that point. I could be wrong. What's the right answer?
2026-04-12 10:38:36.1775990316
Multivariable calculus: Can two trajectories of a vector field ever cross each other?
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