ACTIVITY 1.8
LINEAR COMBINATIONS OF TWO VECTORS

Given two vectorsand, we can build other vectors combining products by scalar with sums and subtractions of the following form:

3+ 2
- 2+
- 4- 1.5
2- 3

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 vectorandIt is any other vectorobtained so: = m+ n, being scalar m and n.

INTERACTIVE ACTIVITY

Moving the green points, you draw the following vectors:

1) = 2 + 3

2) = 4 -

3) = - 2 + 2

4) = - 3 - 3

5) = 1.8 + 2.5

6) = - 4 - 1.4

7) = - 2

8) = 3
                            SOLUTION

They give you the vectors

END OF ACTIVITY 1.8
LINEAR COMBINATION OF TWO VECTORS