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This post categorized under Vector and posted on June 26th, 2018.

Stack Exchange network consists of 174 Q&A communities including Stack Overflow the largest most trusted online community for developers to learn share their knowledge and build their careers.However the two definitions are just conjugate of each other. As for Mathematicas Dot function the documentation should address this issue because it leads to confusion. The Dot function does tensor index contraction without introducing any conjugation. There is no built-in function for the Hermitian inner product of complex vectors. The Norm function does what we would expect in the complex case too

When inputs A and B are real or complex vectors the dot function treats them as column vectors and dot(AB) is the same as sum(conj(A).B). When the inputs are matrices or multidimensional arrays the dim argument determines which dimension the sum function operates on. In this case dot(AB) is the same as sum(conj(A).Bdim).The Dot Product gives a scalar (ordinary number) answer and is sometimes called the scalar product. But there is also the Cross Product which gives a vector as an answer and is sometimes called the vector product .

04.02.2016 8.01x - Lect 3 - Vectors - Dot Products - Cross Products - 3D Kinematics - Duration 4933. Lectures by Walter Lewin. They will make you Physics. 158948 viewsAutor Physics Videos by Eugene KhutoryanskyAufrufe 375KVideolnge 4 Min.

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