Daily Maths Challenges

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Share your cool maths problems.

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submitted 1 month ago* (last edited 1 month ago) by siriusmart to c/dailymaths

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As you may have noticed, whenever a field line and contour line crosses each other, they are perpendicular.

Prove it.

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[–] siriusmart 2 points 4 weeks ago* (last edited 3 weeks ago)

Hint

Line of greatest descent is the shortest distance between two contour lines.

I'm sure there are many other ways to solve this, as it is a very open ended question. But anyways this is one of the favourite proof i've done

Solution