Finding the unit tangent vector and the unit normal vector

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THANK YOU!!! The only examples people like showing are ones where sin and cos squared becomes a constant and then I was so confused if we needed to take derivative of the magnitude too. Thank you so much ❤❤

denatyeatsnuggets
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We know N(t) points toward the centre of curvature - you can see the 3/2 powers showing up. Notice that you can easily flip the componenets of T and make one negative forcing the dot product to be 0 and still maintain unit vector status. Identical result when taking negative reciprocal slopes.

ianfowler
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What was the original word problem? Knowing it would make this video tastier.

ologhai
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Why this parametric curves are continuous? Maybe not...

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