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Vectors in a Plane and
Space ( Vectors
in 2D and 3D ) |
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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 |
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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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