Introduction to Vector-Valued Functions

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  1. Math with Dr. Claire
  2. vector calculus
  3. calculus
  4. calculus 3
  5. parameterization
  6. 3D
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Комментарии
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This is so cool!! Especially going from 3D to 2D by omitting an axis (the helix to cosine function blew my mind 😯)

AmirJacob_
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You are Amazing. Words don't do justice to how good your explanation is.

ShahFahad-ezcm
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Hey Claire, Im a mechanical engineer and have mathematical problem to solve. Imagine two given spheres anywhere in space with an equal radius. The intersection between them is a circle in space, but i want the curve in parametrized form. My solution is to make a new coordinate system with the origin in the center the circle. The z-axis is facing in the direction of the line between the two centers of the spheres. In this coordinate-system the equation of the circle is simple because the z-component is always zero.

To get to this new coordinate system i first rotatet the original one around the z-axis and then around the new x-axis so it alines with the connection line. Then i get the solution by doing a coordinate-transformation, but the symbolic solution is very very long.

My question is if you could think of a more elegent way of getting a closed symbolic parametrized solution of the intersection circle.
Sadly my mathematical toolbox as a engineer is rather limited and i gues you coulf think of a nicer way to solve this problem.

Greeting from Germany☺️

legoweaponary
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Very well explained..
Which software did you use for the visualisation of the curves?

asmaazhar