Physics.Learn.CommonVec

This module defines some common vector operations. It is intended that this module not be imported directly, but that its functionality be gained by importing either SimpleVec or CarrotVec, but not both. Choose SimpleVec for vector operations (such as vector addition) with simple concrete types, which work only with the type Vec of three-dimensional vectors. Choose CarrotVec for vector operations that work with any type in the appropriate type class.

Documentation

data Vec

A type for vectors.

Constructors

Vec

Fields

xComp :: Double

x component

yComp :: Double

y component

zComp :: Double

z component

Instances

Eq Vec

Show Vec

StateSpace Vec

type Scalar Vec = Double

type Diff Vec = Vec

vec

Arguments

:: Double

x component

-> Double

y component

-> Double

z component

-> Vec

Form a vector by giving its x, y, and z components.

(><) :: Vec -> Vec -> Vec infixl 7

Cross product.

iHat :: Vec

Unit vector in the x direction.

jHat :: Vec

Unit vector in the y direction.

kHat :: Vec

Unit vector in the z direction.