Question

The set of all possible vectors you can reach with the linear combination of two vectors is called _

Answer 1

Answer:  Linear span of the two vectors.

Step-by-step explanation: We are all familiar with the concept of vector spaces. If we have two given vectors {v, w}, then the set of all possible combinations of the form av+bw will make the span of v and w.

Also, the number of independent vectors whose combinations are in the span will give the dimension of the vector space. For example, here we have two vectors whose combinations we are considering.

Thus, the dimension of the vector space is 2.

Answer 2

Answer:

The set of all possible vectors you can reach with the linear combination of two vectors is called ____________________.  

(1)Scaling  

(2)Span  

(3)Linear Combination  

(4)Basis  

Answer:-(3)Linear Combination

Step-by-step explanation:

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