Question

The _____________ of a vector space is a set of linearly independent vectors that span the entire space. Scale Dot Product Cross Product Basis

Answer 1

Before going to answer we must know the definition of basis

Basis:

A set S is said to be basis of a vector space V if

1. S is linearly independent set of vectors

2. S spans V

That is L(S) = V

The answer of the given question is

BASIS

I hope this answer help you

Answer 2

Answer:

The correct Option is Basis

Step-by-step explanation:

Basis :

A set S is said to be basis of a vector space V if  

1. S is linearly independent set of vectors  

2. S spans V  

Therefore, Basis is the set of linearly independent vectors that spans the vector space V.

Hence, The answer of the given question is  

Basis.

∴ The Basis of a vector space is a set of linearly independent vectors that span the entire space.