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Daily Maths Challenges • 27 days ago

[2025/01/11] Perpendicular of contour lines

17

[2025/01/11] Perpendicular of contour lines

@siriusmartM to

Daily Maths Challenges • 27 days ago

Contour lines joins up points on a surface that are of the same height.
Field lines points towards the direction of the steepest descent.

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

Prove it.

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@siriusmartOPM
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23 days 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

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