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📚 346 mathematics articles — and growing.
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Youtube Video:
Deriving the Plane Through A Perpendicular to Vector A: A · (P − A) = 0, A · P = ‖A‖²
youtu.be/b6MY4gTgFn0?si=H44N…
#dotproduct
A direct proof that subtracting the transpose of any real 3 × 3 matrix from the original produces a skew-symmetric matrix:
K = M − Mᵀ
and therefore
Kᵀ = −K.
#SkewSymmetricMatrix #LinearAlgebra
Cross Product Tools 2
11 Main Equations
#crossproduct #determinants #dotproduct #simultaneousequations
New Youtube Video:
Cross Product Derived from First Principles:
N = (a₂b₃ − a₃b₂, a₃b₁ − a₁b₃, a₁b₂ − a₂b₁)
Length: 21 mins 38 seconds
youtu.be/sxkd4EETJdg?si=7bxA…
#crossproduct #dotproduct #vectors #furthermaths
Youtube Video:
How to Prove the Identity (|A||B|sinθ)²=|A|²|B|²-(A.B)²
#dotproduct #crossproduct #vectors
youtu.be/wR5gUhpF118?si=h7sb…
Solving a 3 × 3 system of linear simultaneous equations using elimination, with the unique solution x = 2, y = 3 and z = 5.
#simultaneousequations #alevelmaths #furthermaths
