CHAPTER 02.05: VECTORS: How do you add two vectors? In this segment, we’ll talk about how we can add
two vectors. If your vector A and other vector B are two vectors of dimension
n. So let’s suppose A vector is given to us as a1, a2, all the way to a sub
n-1, a sub n. Another vector B, let’s suppose, is given to you b1, b2, all
the way to b sub n-1, b sub n. So, you’re finding out that both are n-dimensional
vectors. A has n components and B has n components and if you want to define
A plus B, all we ever do is to add the corresponding components. That means
the first component has to be added to the first component here. Second
component has to be added to the second component here and so on and so
forth. So, the first component will be a1 plus b1, second component will be
a2 plus b2, and the second to last component be a sub n minus 1 plus b sub n
minus 1 and the last component will be an plus bn. So, that’s how we will
define addition of two vectors. That’s the end of this segment. |