Final answer:
To determine if the product of vectors u and v, denoted as uv, is in set v, we need to examine the properties of the set v. If set v is closed under vector multiplication, that means for any vectors u and v in the set v, their product uv will also be in the set v.
Step-by-step explanation:
Let v be the set of vectors shown below. If u and v are in v, is uv in v? Why?
To determine if the product of vectors u and v, denoted as uv, is in set v, we need to examine the properties of the set v.
If set v is closed under vector multiplication, that means for any vectors u and v in the set v, their product uv will also be in the set v.
To determine if set v is closed under vector multiplication, we need to analyze the properties of the vectors in set v.
In order to provide a comprehensive answer, we would need to see the set of vectors v in question. However, without further information, it is not possible to determine whether the product uv is in set v.