# Is the set of all vectors in #R2# of the form #(a, b)# where #b = a# closed under addition?

##### 1 Answer

Apr 1, 2017

Yes. For **Proof** , refer to **The Explanation.**

#### Explanation:

Let

Let

By the **Defn. of Addition of Vectors,**

Clearly,

This shows that **closed** under vector addition.

**Enjoy Maths.!**