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College
algebra contents F
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Vectors
in a Plane and Space |
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Vectors
in a Plane |
Vectors - introduction |
Length, magnitude or
norm of the vector |
Collinear, opposite
and coplanar vectors |
Addition of vectors |
Triangle rule (law)
and parallelogram rule |
Zero or
null vector |
Subtraction
of vectors |
Scalar multiplication
or multiplication of a vector by scalar |
Unit vector |
Addition,
subtraction and scalar multiplication of vectors, examples |
Linear combination of
vectors |
Linear dependence of
vectors |
Vectors
and a coordinate system, Cartesian vectors |
Vectors in a coordinate plane (a two-dimensional system of
coordinates), Cartesian vectors |
Radius vector or position vector |
Vector components |
Vectors in a two-dimensional system, examples |
Vectors in three-dimensional space in terms of Cartesian
coordinates |
Angles of vectors in relation to coordinate axes, directional cosines -
scalar components of a vector |
The unit vector of a vector |
Vectors in a three-dimensional coordinate system, examples |
Scalar product or
dot product or inner product |
Orthogonality or
perpendicularity of two vectors |
Different positions of two vectors and the corresponding values of the
scalar product |
Square of magnitude of
a vector |
Scalar product of unit
vectors |
Scalar or dot product properties |
Scalar product in the
coordinate system |
Angle between vectors
in a coordinate plane |
Projection
of a vector in the direction of another vector, the scalar and vector
components |
Vector
product or cross product |
Vector product |
Right-handed system |
An example for the
vector product in physics |
The condition for
two vectors to be parallel |
The vector products
of the standard unit vectors |
The vector product
properties |
The vector product
in the component form |
The mixed product
or the scalar triple product |
The mixed product
or scalar triple product definition |
The mixed product
properties |
The condition for
three vectors to be coplanar |
The mixed product
or scalar triple product expressed in terms of components |
The vector product and the mixed product use, examples |
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College
algebra contents |
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