Maple worksheets on vectors |

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