Why does multiplication act like scaling and rotation of a vector in the complex plane?
5689
Geometric interpretation of the multiplication of complex numbers?
94878
Scheme: Changing the definition of complex numbers to accept vectors
22182
why don't we define vector multiplication component-wise?
2482
Matrix Multiplication in context of row and column vectors
110507
Complex Number Locus w.r.t Coordinate Axes
153446
Calculate the components of a unit vector that lies in the xy-plane and makes equal angles with the positive directions of the x- and y-axes
92377
Why is $\mathbf{B}$ a pseudovector?
106339
Intuition behind Matrix Multiplication
96795
Complex bilinear transformation.
89038
Why does the magnitude of the cross-product of a and b give the area of a parallelogram spanned by a and b?
89517
Do four dimensional vectors have a cross product property?
116881
Why is a linear transformation called linear?
60934
What is a complex inner product space "really"?
150442
What does a linear transformation do to a vector in $\mathbb{R}^2$
19964
What does the dot product of two vectors represent?
35571
Euler Rotations in Ordinary Space
138605
Why `Chop` does not make the real part of machine complex numbers an exact zero?