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Theorems · Theorem · linear algebra

dot_self_cross

∀ {R : Type u_1} [inst : CommRing R] (v w : Fin 3 → R), v ⬝ᵥ (crossProduct v) w = 0

The cross product of two vectors is perpendicular to the first vector.

Defined in
Mathlib.LinearAlgebra.CrossProduct
Cited by
2 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRing

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