Why are dot products scalar, intuitively?
1086
What is the physical significance of dot & cross product of vectors? Why is division not defined for vectors?
22182
why don't we define vector multiplication component-wise?
55890
Why do we use cross products in physics?
13020
Proof for the funky trace derivative : $d (\operatorname{trace} (ABA'C))$?
103061
Why is it true that $\mathrm{adj}(A)A = \det(A) \cdot I$?
149470
Intuitive Understanding About the Implicit Function Theorem
146926
Why don't products of Dirac deltas integrate correctly?
40478
If $C$ commutes with certain matrices $A$ and $B$, why is $C$ a scalar multiple of the identity?
48544
Why is cross product defined in the way that it is?
148355
Regarding Goldstein's claim that $\mathbf{F} = \dot{\mathbf{p}}$
143923
Why can the cross product of two vectors be calculated as the determinant of a matrix?
146351
Effect of elementary row operations on determinant?
74481
Distribution of scalar products of two random unit vectors in $D$ dimensions
81411
why normalize and the definition of directional derivative
123220
Quick doubt about multiplying vectors by scalars
49946
A determinant coming out from the computation of a volume form
87676
Why is determinant a multilinear function?