Tag: Dot Product
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Dot Product
Introduction The dot product, also known as the scalar product, is a fundamental operation in the field of vector algebra. It operates on two vectors to produce a scalar, or single number. Definition of the Dot Product For two vectors and , the dot product is defined as: This operation multiplies corresponding components of and…
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Vector Analysis
Introduction Vector analysis is a branch of mathematics that deals with quantities that have both magnitude and direction. Unlike scalars, which only have magnitude, vectors are essential in representing physical quantities such as force, velocity, and acceleration. Vector Basics A vector is often represented as an arrow with its length proportional to the magnitude and…