Unit Normal Vector

A Unit Normal Vector is a Normal Vector that is a Unit Vector.

• See: Differentiable Vector.

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References

2009

• http://ltcconline.net/greenl/courses/202/vectorFunctions/tannorm.htm#normalvector
  • A normal vector is a perpendicular vector. Given a vector v in the space, there are infinitely many perpendicular vectors. Our goal is to select a special vector that is normal to the unit tangent vector. Geometrically, for a non straight curve, this vector is the unique vector that point into the curve. Algebraically we can compute the vector using the following definition.
  • Definition of the Principal Unit Normal Vector: Let r(t) be a differentiable vector valued function and let T(t) be the unit tangent vector. Then the principal unit normal vector N(t) is defined by N(t) = T'(t) / ||T'(t)||.

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