\sqrt{x^2 + y^2 + z^2} = 1 \quad \Rightarrow \quad x^2 + y^2 + z^2 = 1

Sun, 03 May 2026 13:58:43 +0000

Understanding the Equation ≤ √(x² + y² + z²) = 1 ⇒ x² + y² + z² = 1: A Core Concept in Geometry and Higher Mathematics At first glance, the equation √(x² + y² + z²) = 1 might seem cryptic, but it lies at the heart of key mathematical concepts—especially in geometry and vector algebra. This article clarifies what this equation truly means, why squaring both sides yields x² + y² + z² = 1, and its significance across disciplines. --- ### The Meaning Behind √(x² + y² + z²) = 1