The equation {x^2} + {y^2} + {z^2} = 0 repres | vedclass

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(A) The given equation is ${x^2} + {y^2} + {z^2} = 0$. Since $x^2$,$y^2$,and $z^2$ are all non-negative real numbers for any real values of $x$,$y$,an

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$(0, 0, 0)$

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(A) The given equation is ${x^2} + {y^2} + {z^2} = 0$. Since $x^2$,$y^2$,and $z^2$ are all non-negative real numbers for any real values of $x$,$y$,and $z$,their sum can be zero if and only if each term is individually zero. Therefore,$x^2 = 0$,$y^2 = 0$,and $z^2 = 0$. This implies $x = 0$,$y = 0$,and $z = 0$. Thus,the equation represents the point $(0, 0, 0)$ in three-dimensional space.

The equation ${x^2} + {y^2} + {z^2} = 0$ represents

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