Thus, the value of $x$ that makes the vectors orthogonal is $\boxed{4}$.

Thu, 07 May 2026 10:21:31 +0000

The Value of \\( x \\) That Makes Vectors Orthogonal: Understanding the Key Secret with \\( \boxed{4} \\) In the world of linear algebra and advanced mathematics, orthogonality plays a crucial role—especially in vector analysis, data science, physics, and engineering applications. One fundamental question often encountered is: What value of \\( x \\) ensures two vectors are orthogonal? Today, we explore this concept in depth, focusing on the key result: the value of \\( x \\) that makes the vectors orthogonal is \\( \boxed{4} \\). --- ## What Does It Mean for Vectors to Be Orthogonal?