my question is homogenous coordinates are the points of projective plane or their points are form are equal but they are different things?

They are different things, as my answer explains. A single point $[x,y,z]$ in the projective plane that is represented by the point $(x,y,z) \in \mathbb R^3$ has many other representatives in $\mathbb R^3$, namely $(2x,2y,2z)$, or $(.001x,.001y,.001z)$, or $(-x,-y,-z)$, or indeed any point on the entire line $(rx,ry,rz)$ (except the point where $r=0$).

In some formal sense, the point $[x,y,z]$ in the projective plane is the line $\{(rx,ry,rz) \in \mathbb R^3 \mid r \in \mathbb R\}$.

Another notation you may encounter is $[x:y:z]$ for the point in the projective plane that I am denoting $[x,y,z]$.

homogenous coordinates are the points of real space $\mathbb R^3$??

No. A point of $\mathbb R^3$ is an ordered triple of real numbers $(x,y,z)$. Notice that $[x,y,z]$ or $[x : y : z]$ is a different notation than $(x,y,z)$.

so homogenous coordinates belongs to which plane or space?

my question is homogenous coordinates are the points of projective plane

you don't understand my confusion, I am asking homogenous coordinates are the points of projective plane? Or homogenous coordinates and projective plane their have no relationship but both have some points are equal?

please give my last question's answer?

I have tried. You'll see at the end that I explain the exact mathematical difference between the point $[x : y : z] \in P^2$ that is represented in homogeneous coordinates by the point $(x,y,z) \in \mathbb R^3$.

could you address what is difference between projective plane and projection plane?

some people represent homogenous coordinates is of the form $[x, y, z]$ and some represents $(x, y,z)$. What is right?

Your terminology "projection plane" is not standard. From what you wrote, I take it that you are referring to the plane $\{(x,y,1) \in \mathbb R^3 \mid x,y \in \mathbb R\}$. I explained the difference between $(x,y,z)$ and $[x:y:1]$ in my answer, starting with the first bullet point.

There are many notations. You must read each author carefully to learn what that author means by their notation.

see here homogenous coordinates is of the form [$[x,y,z]$](math.stackexchange.com/questions/4194867/…)

some author represent homogenous coordinates is of the form $[x,y,z]$ and some author represents $(x,y,z)$. But my question is What is more scientific?

This question of "more scientific" notation seems to be beyond the scope of your original question. Instead of continuing to expand your question in the comments, you should decide whether this answer is acceptable, or await another answer which is more acceptable.

I am just confusing. Believe me I understand all concepts after your answer except one thing. This bracket concepts. Some author saying homogenous coordinates are the points of $P^2$, some saying $\mathbb R^3$... I am confused what is right? Please help me to understand.

I will repeat: there are many notations. Two different authors do not always use the exact same notation. If you understand the mathematical concepts, then I am confident that you can figure out how one author uses notation to represent the mathematical concepts, and how a different author uses different notation to represent the same mathematical concepts.

your ""the point [x:y:z] in the projective plane is a different mathematical object than any ordered triple (x,y,z)∈R3"" --- what you meant [x:y:z] is different mathematical object in projective plane? Give one example.