ACTIVITY 1.10
DISTRIBUTIVITY OF THE PRODUCT REGARDING TO THE SUM

When it multiplies one scalar m by the two vector sum and we get the same result that if we multiply and by m, and later we sum the result.

That is to say:                              m(+) = m+ m

This property receives the name of distributivity of the product regarding to the sum. For example, the two figures of the right side state that

2(+) = 2+ 2
   -1.5(+) = -1.5 - 1.5

Other types of distributivity are:

m(-) = m- m
(m + n)= m+ n
(m - n)= m - n

This construction states that
                    2.5(+) = 2.5+ 2.5

You can move the green points and, with them, vectors,and m(+). Move them and you make constructions to state that:

1) 3(+) = 3+ 3

2) -2(+) = - 2- 2

3) 1.5(+) = 1.5+ 1.5

4) 2.25(+) = 2.25+ 2.25

Move them in other ways and you check that always it verifies  m(+) = m+ m

SOLUTION

END OF ACTIVITY 1.10
DISTRIBUTIVITY OF THE PRODUCT REGARDING TO THE SUM