  Maple worksheets on vectors  Vectors, matrices and complex numbers:

They are all compatible with Classic Worksheet Maple 10.  Vectors and vector algebra - vectalg.mws

• Scalars and 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 Top of page

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