The Vector
Definition
A vector has direction and magnitude.
Remark
Well, technically, anything that fulfils the criteria of a vector space is a vector.
Vector in Component Form
Definition
is the set of all vectors with
Vector Equality
Definition
It all the components of
Zero Vector
Definition
Vector Addition
Definition
Vectors can be added by adding their components
Scalar Multiplication
Definition
Vector components are all multiplied by a scalar value
Parallel Vectors
Definition
Linear Combination
Definition
Two or more vectors whose respective components are multiplied, and then added with each other.
Let
is a linear combination of the vectors
Visualization