definition 13.14 Principal unit normal vector

open in the book · parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:727 · p. 458

ground object -- no derivation owed

Rests on

depends_on definition 13.13 Normal curvature vector of a curve ¶
- depends_on definition 13.12 Unit tangent vector ¶
  - depends_on definition 13.11 Arc length ¶
    - depends_on definition 13.8 Curve ¶
    - depends_on definition 13.9 Tangent vector to a curve ¶
      - depends_on definition 13.8 Curve ¶ ↺
  - depends_on definition 13.9 Tangent vector to a curve ¶ ↺

Supports

depends_on definition 13.15 Unit binormal vector ¶
depends_on proposition 18.33 Intrinsic decomposition of the acceleration ¶
- depends_on remark 18.34 The two ways an acceleration can be zero ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	Normal curvature vector of a curve	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:732
`depends_on`	←	Unit binormal vector	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:746
`depends_on`	←	Intrinsic decomposition of the acceleration	declared	parts/03-classical-mechanics/01-kinematics.tex:1033