Fundamental Unit Vector and Fundamental Plane Lecture , BSc Maths by Miss. Megha Sharma.

3,314 views · Published 27 April 2013 · 4:19 · Indexed 20 September 2026

Channel: Guru Kpo · 2013 · Education

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The unit vector along  tangent, principal normal, and binormal  are denoted by t^,n^,b^  and form an orthogonal right handed triad so we can say that t^.n^ =0, n^.b^= 0, b^.t^ =0 & t^ ×n^ =b^ ,b^ ×t^ =n^, n^ ×b^ =t^. the set of unit vectors  t^,n^,b^   which vary from point to point along a curve form a moving trihedral and they are independent of parameterization and determine the local property of the curve at that point. Hence  t^,n^,b^  are called  Fundamental  Unit Vector. The three planes osculating plane, normal plane & rectifying plane are associated with each point of curve and are known as Fundamental Plane.

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