Does $x^{*}y$ mean the same thing as $\langle y,x \rangle$?

Question

I am getting confused over some notation.

Does $x^{*}y$ mean the same thing as $\langle y,x \rangle$?

My book says that $$x^{*}y=\sum_{i=1}^m \bar{x_i}y_i$$ I am wondering if that is equivalent to $$x^{*}y=\sum_{i=1}^m y_i\bar{x_i}=\langle y,x \rangle$$

I think it is becasue the $x_i$ and $y_i$ are just numbers, but just want to make sure.

Thank you.