MULTIPLICATION OF VECTOR (1) : ( Dot product of Vector) WELL EXPLAINED

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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[@PsychTalk-ci6mf]

Hi bro, if the resultant of a zero vector is 0.15, is it still considered a zero vector? I'll be glad if you would reply.

[@ExcellentlinkAcademy]

No, a vector with a magnitude (resultant) of 0.15 cannot be considered a zero vector. A zero vector, by definition, has a magnitude of 0 and no direction. It is a vector with no length or orientation, often represented as ⟨0, 0⟩ or simply 0. If a vector has a magnitude of 0.15, it means it has a non-zero length, and therefore, it is not a zero vector. In mathematics and physics, zero vectors play a crucial role in various concepts, such as: 1. Vector addition and subtraction 2. Linear independence 3. Span and basis 4. Eigenvalues and eigenvectors 5. Linear transformations In each of these contexts, the zero vector has specific properties and behaviors that distinguish it from non-zero vectors like the one with a magnitude of 0.15.