To find the square of the point [tex]\((1, 0)\)[/tex], we need to square each of its components separately. Here is a step-by-step breakdown of the process:
1. Identify the components of the point:
- The point [tex]\((1, 0)\)[/tex] has two components: [tex]\(x = 1\)[/tex] and [tex]\(y = 0\)[/tex].
2. Square each component individually:
- Square the [tex]\(x\)[/tex]-component:
[tex]\[
x^2 = 1^2 = 1
\][/tex]
- Square the [tex]\(y\)[/tex]-component:
[tex]\[
y^2 = 0^2 = 0
\][/tex]
3. Combine the squared components:
- After squaring each component, we combine them back into a point:
[tex]\[
(x^2, y^2) = (1, 0)
\][/tex]
The result of [tex]\((1, 0)^2\)[/tex] is therefore [tex]\((1, 0)\)[/tex].
