Рет қаралды 64
In this video, we'll explore the fundamental concept of vector multiplication, specifically focusing on the dot product (also known as the scalar product or inner product). We'll delve into the definition, formula, and geometric interpretation of the dot product, and demonstrate how it's used to calculate the amount of "similarity" between two vectors.
Topics covered include:
- Definition of the dot product
- Formula: A · B = |A| |B| cos(θ)
- Geometric interpretation: projection of one vector onto another
- Calculating the dot product in 2D and 3D space
- Applications of the dot product in physics, engineering, and computer science
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