define dot product and state the characteristics of dot product
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Answer: Dot product. ... Algebraically, the dot product is the sum of the products of the corresponding entries of the two sequences of numbers. Geometrically, it is the product of the Euclidean magnitudes of the two vectors and the cosine of the angle between them. These definitions are equivalent when using Cartesian coordinates ...
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=> The scalar or dot product of two vectors is defined as the product of magnitudes of the two vectors and the cosine of the angles between them. If a and b are two vectors and θ is the angle between the two vectors then by the definition scalar product of two vectors. a · b = a b cos θ.
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