Set the dot product equal to zero:

Sun, 03 May 2026 03:32:58 +0000

# Set the Dot Product Equal to Zero: Understanding Its Meaning and Applications When learning linear algebra, one of the most essential concepts is the dot product—a powerful mathematical tool used in physics, computer graphics, machine learning, and more. A key condition often discussed is setting the dot product equal to zero, a concept fundamental to understanding orthogonality and projections. ## What Is the Dot Product? The dot product (also known as the scalar product) of two vectors a and b in ℝⁿ is calculated as: