Dot Product Geometric Interpretation

Linear Algebra for Machine Learning · Axiom Academy

Computing Angle Between Vectors Using dot product to find angles Find the angle between two vectors Find: The angle θ between them The formula connecting dot product to angle: The angle is approximately 23.1 degrees. These vectors point in mostly similar directions (angle is small). Question 1: Angle Interpretation If the dot product of two vectors equals 0, what angle do they form? Question 2: Angle from Dot Product If u · v = 12 and ||u|| = 3, ||v|| = 4, what is cos(θ)?

This is the written version of the interactive lesson above. See the full Linear Algebra for Machine Learning course.