The set of quantities are components of an -dimensional vector iff, under rotation,
(1)
|
for , 2, ..., . The direction cosines between and are
(2)
|
They satisfy the orthogonality condition
(3)
|
where is the Kronecker delta.
The set of quantities are components of an -dimensional vector iff, under rotation,
(1)
|
for , 2, ..., . The direction cosines between and are
(2)
|
They satisfy the orthogonality condition
(3)
|
where is the Kronecker delta.
Weisstein, Eric W. "Vector Transformation Law." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/VectorTransformationLaw.html