xprod: Generalized Vector Cross Product
In friendly/matlib: Matrix Functions for Teaching and Learning Linear Algebra and Multivariate Statistics
xprod R Documentation
Generalized Vector Cross Product
Description
Given two linearly independent length 3 vectors **a** and **b**, the cross product, \mathbf{a} \times \mathbf{b}
(read "a cross b"), is a vector that is perpendicular to both **a** and **b**
thus normal to the plane containing them.
Usage
xprod(...)
Arguments
...
N-1 linearly independent vectors of the same length, N.
Details
A generalization of this idea applies to two or more dimensional vectors.
See: [https://en.wikipedia.org/wiki/Cross_product] for geometric and algebraic properties.
Value
Returns the generalized vector cross-product, a vector of length N.
Author(s)
Matthew Lundberg, in a [Stack Overflow post][https://stackoverflow.com/questions/36798301/r-compute-cross-product-of-vectors-physics]
Examples
xprod(1:3, 4:6)
# This works for an dimension
xprod(c(0,1)) # 2d
xprod(c(1,0,0), c(0,1,0)) # 3d
xprod(c(1,1,1), c(0,1,0)) # 3d
xprod(c(1,0,0,0), c(0,1,0,0), c(0,0,1,0)) # 4d
friendly/matlib documentation built on March 3, 2024, 12:18 p.m.
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| xprod | R Documentation |
Generalized Vector Cross Product
Description
Given two linearly independent length 3 vectors **a** and **b**, the cross product, \mathbf{a} \times \mathbf{b}
(read "a cross b"), is a vector that is perpendicular to both **a** and **b**
thus normal to the plane containing them.
Usage
xprod(...)
Arguments
... |
N-1 linearly independent vectors of the same length, N. |
Details
A generalization of this idea applies to two or more dimensional vectors.
See: [https://en.wikipedia.org/wiki/Cross_product] for geometric and algebraic properties.
Value
Returns the generalized vector cross-product, a vector of length N.
Author(s)
Matthew Lundberg, in a [Stack Overflow post][https://stackoverflow.com/questions/36798301/r-compute-cross-product-of-vectors-physics]
Examples
xprod(1:3, 4:6)
# This works for an dimension
xprod(c(0,1)) # 2d
xprod(c(1,0,0), c(0,1,0)) # 3d
xprod(c(1,1,1), c(0,1,0)) # 3d
xprod(c(1,0,0,0), c(0,1,0,0), c(0,0,1,0)) # 4d
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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