Why was $\vec{A}\cdot\vec{B}$ defined as $|\vec{A}||\vec{B}|\cos \theta$?
67035
History of dot product and cosine
125966
Why there's a finite $\Gamma '$ such that $\Gamma ' \vDash \varphi$?
76297
What is the inverse of the $\mbox{vec}$ operator?
157726
Can we write $\vec L=\vec r\times \vec p$ for an extended object?
9574
How to show that $\det(AB) =\det(A) \det(B)$?
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?
61666
Proving $ [(\vec{a}+\vec{b})\times(\vec{b}+\vec{c})]\cdot(\vec{c}+\vec{a})=2\vec{c}\cdot(\vec{b}\times\vec{a})$
142028
If $\vec{a},\vec{b},\vec{c},\vec{d}$are unit vectors, $(\vec{a}\times\vec{b}).(\vec{c}\times\vec{d})=1$ and $\vec{a}.\vec{c}=\frac{1}{2}$,then
18967
Linear independence of $\sin(x)$ and $\cos(x)$
125737
GCD( LCM(a,b) , LCM(a,c) ) = LCM(b, GCD(b,c)) , why?
156162
Are $\cos^2 \theta$ and $\cos \theta^2$ the same?
131609
Prove that $Au\cdot v = u\cdot A^Tv$
126672
Product of principal ideals: $(a)\cdot (b) = (a b)$
13768
Origin of the dot and cross product?
103061
Why is it true that $\mathrm{adj}(A)A = \det(A) \cdot I$?
71392
Is $\operatorname{lcm}(a,\gcd(b,c))=\gcd(\operatorname{lcm}(a,b),\operatorname{lcm}(a,c))$
24072
Intuitive explanation of why $\dim\operatorname{Im} T + \dim\operatorname{Ker} T = \dim V$