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IB HL - Vectors
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2 dimension vectors

  • Position vectors.
  • Unit vectors.
  • Addition of vectors.
  • Scalar product of 2-d vectors.
  • Magnitude of a 2-d vector.
 
3 dimension vectors
  • Position vectors.
  • Unit vectors.
  • Addition of vectors.
  • Scalar product of 3-d vectors.
  • Magnitude of a 3-d vector.
 
Scalar product of 2 vectors
  • The scalar product of 2 vectors.
  • Algebraic properties of the scalar product.
  • Finding parallel and perpendicular lines.
 
Vector equation of a line
  • Vector equation of a line.
  • The angle between two vectors.
  • Finding coincident, parallel and skew lines, and distinguishing between them.
  • Finding points of intersection between vector lines.
 
Vector cross product
  • Finding the cross product of two vectors.
  • The determinant representation.
  • Geometric representation of the determinant.