What does the dot product of two vectors represent? Cauchy Schwarz theorum related.
15199
What is the use of the Dot Product of two vectors?
28109
Conjectural closed-form representations of sums, products or integrals
27344
Showing connection of cross-ratio and Schwarzian derivative for a holomorphic function $f$.
111725
On the absolute value of Jacobian determinant - variable transformation in multi-integral
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Why is it true that $\mathrm{adj}(A)A = \det(A) \cdot I$?
74481
Distribution of scalar products of two random unit vectors in $D$ dimensions
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Proof: $\det\pmatrix{\langle v_i , v_j \rangle}\neq0$ $\iff \{v_1,\dots,v_n\}~\text{l.i.}$
117313
What is the dot product and why do we need it?
58958
How to understand dot product is the angle's cosine?
59598
The vectors are orthonormal
75867
Tensor double dot product
16644
Why does cancellation of dots $\frac{\partial \dot{\mathbf{r}}_i}{\partial \dot{q}_j} = \frac{\partial \mathbf{r}_i}{\partial q_j}$ work?
144500
Cauchy-Schwarz inequality proof (but not the usual one)
20503
Meaning of inner product $\langle \vec{r} | \psi(t)\rangle $
112073
What does a Lagrangian of the form $L=m^2\dot x^4 +U(x)\dot x^2 -W(x)$ represent?
38354
A result similar to Schwarz lemma
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Cauchy-Schwarz inequality in Shankhar's Quantum Mechanics