what is Cross product and Dot product
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The dot product and cross product are methods of relating two vectors to one another. The dot product is a scalar representation of two vectors, and it is used to find the angle between two vectors in any dimensional space. For vectors and , the dot product is . The cross product is a vector orthogonal to three-dimensional vectors and , and can be used to determine the area or volume of a parallelogram defined by , , and . For vectors and , the cross product is , which is the determinate of a three-by-three matrix. Two vectors are parallel if their cross product is equal to zero, .
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=> 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.