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 Jun12 asked Solid angle definition - can it be seen shown using an image? Jun7 asked Is it possible for an operator to have only one eigenvalue in this case? - in need of a proof Jun6 accepted When does exponential function $e^x$ equal $1$? Jun6 comment When does exponential function $e^x$ equal $1$? As i ve thought an Euler identity :) Jun6 asked When does exponential function $e^x$ equal $1$? May26 comment Inner product vs scalar rpoduct Well thats how they taught us in schools. May26 comment Inner product vs scalar rpoduct Thanks on the note! May26 revised Inner product vs scalar rpoduct added 22 characters in body May26 asked Inner product vs scalar rpoduct May20 comment inner product (real or imaginary?) I forgot to mention i need info for $\mathbb{C}$. May20 asked inner product (real or imaginary?) May18 accepted Complex 3-D Euclidean space - inner product May18 accepted Inner product justification with an example May18 comment Weird Identities with Scalar Product & Transpose: $\vec{a}\cdot\vec{b} = \vec{b}^T \cdot {a}^T$, $\vec{a}^T \cdot \vec{b} = \vec{b}^T \cdot \vec{a}$? I found this later: en.wikipedia.org/wiki/Column_vector It explains well what you have been stating here all along May13 comment Inner product justification with an example I forgot to say that inner product $v\cdot \overline{d}$ isn't demanded to be $\mathbb{C}$, so there isn't any problem here anymore. Is my thinking mathematically correct? May13 comment Inner product justification with an example I am trying to think that an inner product can only be aplied to vectors so first i need a complex vector. And i try to think of a complex vector as a column matrix with complex numbers (at least one has to be ) like this one: $$\vec{v} = \begin{pmatrix}1+3i\\2-i\\ 3\end{pmatrix}$$ and here complex numbers are $v_1=1+3i,\, v_2=2-i,\,v_3 = 3$. So now i can use theese to calculate inner product $v\cdot \overline{v} = v_1\overline{v_1}+v_2\overline{v_2}+v_3\overline{v_3}$ which is always real (and this is what we wanted it to be so now i understand why this definition is OK). May13 accepted Weird Identities with Scalar Product & Transpose: $\vec{a}\cdot\vec{b} = \vec{b}^T \cdot {a}^T$, $\vec{a}^T \cdot \vec{b} = \vec{b}^T \cdot \vec{a}$? May13 comment Inner product justification with an example I get $u \cdot u = 2i$ if i calculate it like a dot product and i get $u \cdot u = 2$ if i calculate it as a inner product. Then for $v$ i got $v\cdot v = 0$ if i calculated it as a dot product and $v\cdot v = 3$ if i calculated it as an inner product. Is this good justification for using definition for inner product as it is? May13 comment Inner product justification with an example Thank you. Is there any good case for 3-D vectors describing this? I need 2 different 3-D vectors and a proof of this on them. May13 asked Inner product justification with an example