Given two vectors and , we can build other vectors combining products by scalar with sums and subtractions of the following form:
3 + 2![](gif/vec_b.gif)
- 2 +![](gif/vec_b.gif)
- 4 - 1.5![](gif/vec_b.gif)
2 - 3![](gif/vec_b.gif)
We will say that we have formed linear combinations of the two vector and . In the figure of the right side you have these four linear combinations obtained by application of the parallelogram law.
That is to say, a linear combination of two vector and It is any other vector obtained so: = m + n , being scalar m and n.
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