What is dot product and cross product good for?
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When you take DOT PRODUCT the answer is only the magnitude (VALUE) of anything BUT when you take CROSS PRODUCT the answer shows the direction of the vector
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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.
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