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![](gif/vec_v.gif)
-1.5( + ) = -1.5 - 1.5![](gif/vec_v.gif)
Other types of distributivity are:
m( - ) = m - m![](gif/vec_v.gif)
(m + n) = m + n![](gif/vec_v.gif)
(m - n) = m - n |