Vector Magnitude | |

Scalar magnitude property | |

Dot product of vectors | |

Notation (indicates a scalar result) | |

a and b are orthogonal (perpindicular) if | |
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Cross product on 3D vectors | |

Area of a triangle defined by 3 points | |

Magnitude of a cross product | |

Normalize a vector (becomes a unit vector, members sum to 1) | |

Vector Triple Product (“back minus cab”) | |

Scalar triple prodct. Equals the volume of a parallelepiped formed by a,b, and c. | |

Projection of a onto b (cosine/X component) | |

Projection of a onto b with 3d vectors | |

Rejection of b from a (sin/Y component) | |

Projection/Rejection property (pythagorean theorem) | |

Gram-Schmidt process (orthogonal vectors set). | |

Common to normalize each result (orthonormalization) | |

3D Vector Outer Product | |

Homogenous direction vector | |

Homogenous position vector |