# Khan Academy. Linear Algebra. Chapter 2.

The vector pointing to x direction
i^ (i – hat)
The vector pointing to y direction
j^ (j – hat)
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A set of elements (vectors) in a vector space V is called a basis, or a set of basis vectors, if the vectors are linearly independent and every vector in the vector space is a linear combination of this set. In more general terms, a basis is a linearly independent spanning set.
Basis vectors
Set of *linearly independent* vectors that span the full space.
Basic of vector space
In linear algebra, the linear span (also called the linear hull or just span) of a set of vectors in a vector space is the intersection of all subspaces containing that set. The linear span of a set of vectors is therefore a vector space.
Span of vectors
In the theory of vector spaces, a set of vectors is said to be linearly dependent if one of the vectors in the set can be defined as a linear combination of the others;
Linearly independent vectors

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