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Define dot product &
properties.
give
Answers
Answer:
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.
Given two unit vectors, their cross product has a magnitude of 1 if the two are perpendicular and a magnitude of zero if the two are parallel. The dot product of two unit vectors behaves just oppositely: it is zero when the unit vectors are perpendicular and 1 if the unit vectors are parallel.
The dot product of two orthogonal vectors is zero. The dot product of the two column matrices that represent them is zero. Only the relative orientation matters. If the vectors are orthogonal, the dot product will be zero.