• 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.

  • siriusmart@lemmy.worldOPM
    2·
    2 months 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