3D Vectors

  • 3D vectors, denoted as (x, y, z), are essential to understanding complex spatial relationships in fields like physics and engineering.
  • Operations with 3D vectors include addition, subtraction, and scalar multiplication, similar to 2D vectors.
  • Advanced concepts such as the dot product, cross product, and triple scalar product must be mastered to work with 3D vectors.
  • These concepts allow for the calculation of angles, distances, areas, and volumes.
  • Understanding the equations of lines and planes in three dimensions is necessary for analysing geometric objects in higher-dimensional spaces.