Vectors, matrices and complex numbers:

• Complex Numbers
• Vectors
• Matrices

The following Maple worksheets can be downloaded.

They are all compatible with Classic Worksheet Maple 10.

Vectors and vector algebra - vectalg.mws

• Scalars and vectors 
• Addition of vectors
• Subtraction of vectors
• Multiplication of a vector by a scalar
• Examples of geometrical proofs involving vector algebra

Vectors in two and three dimensions in terms of components - vect3D.mws

• Vectors in the coordinate plane
• The three dimensional coordinate system and three dimensional vectors 
• The distance between two points and the equation of a sphere 

The dot product of two vectors - dotprod.mws

• The dot product of two vectors 
• Orthogonal vectors 
• Scalar and vector projection   

The cross product of two vectors - crossprod.mws

• The definition of the cross product of two vectors  
• The orthogonality and anti-commutativity properties of the cross product  
• Geometrical interpretation of the cross product 
• Properties of the cross product following from the geometrical description 
• Explanation of the distributive property of the cross product  
• Deducing the geometrical description of the cross product from the description in terms of components 

Lines and planes in 3 dimensions - planes.mws

• The equation of a line in 3 dimensions 
• The equation of a plane 
• The angle between two planes 
• Examples involving lines and planes 
  • A plane through three given points 
  • The angle between a line and a plane 
  • The distance from a point to a plane 
  • The line of intersection of two planes 
  • The distance between two skew lines 

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