Vect

java.lang.Object
- physics.Vect

```
public final class Vect
extends java.lang.Object
```
Vect is an immutable abstract data type which models the mathematical notion of a vector or a point in 2-space.

Field Summary

Fields
Modifier and Type	Field and Description
`static Vect`	`X_HAT` A unit vector in the positive x direction
`static Vect`	`Y_HAT` A unit vector in the positive y direction
`static Vect`	`ZERO` A Vect with zero length

Constructor Summary

Constructors
Constructor and Description
`Vect(Angle angle)`
`Vect(Angle angle, double length)`
`Vect(double x, double y)` Constructs a new vector in Cartesian space with coordinates (x,y).
`Vect(java.awt.geom.Point2D p)`

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`Angle`	`angle()`
`double`	`distanceSquared(Vect b)`
`double`	`dot(Vect b)`
`boolean`	`equals(java.lang.Object o)`
`boolean`	`equals(Vect v)`
`int`	`hashCode()`
`double`	`length()`
`Vect`	`minus(Vect b)`
`Vect`	`neg()`
`Vect`	`plus(Vect b)`
`Vect`	`projectOn(Vect b)` Returns the projection of this onto the unit vector `b`
`Vect`	`rotateBy(Angle a)`
`Vect`	`times(double amt)`
`java.awt.geom.Point2D.Double`	`toPoint2D()`
`java.lang.String`	`toString()`
`Vect`	`unitSize()`
`double`	`x()`
`double`	`y()`

Methods inherited from class java.lang.Object
clone, finalize, getClass, notify, notifyAll, wait, wait, wait

- Field Detail
  - ZERO
```
public static final Vect ZERO
```
    A Vect with zero length
  - X_HAT
```
public static final Vect X_HAT
```
    A unit vector in the positive x direction
  - Y_HAT
```
public static final Vect Y_HAT
```
    A unit vector in the positive y direction
- Constructor Detail
  - Vect
```
public Vect(Angle angle)
```
    Parameters:
    
    angle - ; requires that angle is not null Constructs a new unit vector in the direction of angle.
  - Vect
```
public Vect(Angle angle,
            double length)
```
    Parameters:
    
    angle - ; requires that angle is not null Constructs a new vector in the direction of angle with length length.
  - Vect
```
public Vect(double x,
            double y)
```
    Constructs a new vector in Cartesian space with coordinates (x,y).
  - Vect
```
public Vect(java.awt.geom.Point2D p)
```
    Parameters:
    
    p - ; requires that p is not null Constructs a new vector in Cartesian space located at the coordinates specified by p
- Method Detail
  - angle
```
public Angle angle()
```
    Returns:
    
    the angle of this in polar coordinates
  - length
```
public double length()
```
    Returns:
    
    the length of this
  - x
```
public double x()
```
    Returns:
    
    the horizontal coordinate of this in Cartesian coordinates
  - y
```
public double y()
```
    Returns:
    
    the vertical coordinate of this in Cartesian coordinates
  - distanceSquared
```
public double distanceSquared(Vect b)
```
    Parameters:
    
    b - vect of the d^2 to be computed; requires that b is not null
    
    Returns:
    
    the square of the distance between the points represented by this and b
  - plus
```
public Vect plus(Vect b)
```
    Parameters:
    
    b - vector to add to; requires that b is not null
    
    Returns:
    
    the vector sum of this and b
  - minus
```
public Vect minus(Vect b)
```
    Parameters:
    
    b - vect to subtract from this; requires that b is not null
    
    Returns:
    
    the vector difference of this and b
  - rotateBy
```
public Vect rotateBy(Angle a)
```
    Parameters:
    
    a - angle to rotate by; requires that a is not null
    
    Returns:
    
    a vector that is equivalent to this having been rotated around the origin by a.
  - neg
```
public Vect neg()
```
    Returns:
    
    a vector that is equivalent to this being rotated by pi radians.
  - times
```
public Vect times(double amt)
```
    Returns:
    
    a vector equivalent to this scaled by amt.
  - projectOn
```
public Vect projectOn(Vect b)
```
    Returns the projection of this onto the unit vector b
    
    Parameters:
    
    b - vect to project on; requires that b is a unit vector
    
    Returns:
    
    vector c resulting from projecting this onto b. The resulting vector c has the same angle as b, but its length is such that this - c is perpendicular to c.
  - unitSize
```
public Vect unitSize()
```
    Returns:
    
    a unit vector with the same angle as this
  - dot
```
public double dot(Vect b)
```
    Parameters:
    
    b - vect to take dot product of; requires that b is not null
    
    Returns:
    
    the dot product of this and b.
  - toPoint2D
```
public java.awt.geom.Point2D.Double toPoint2D()
```
    Returns:
    
    a new Point2D object which is located at the same point as this.
  - toString
```
public java.lang.String toString()
```
    Overrides:
    
    toString in class java.lang.Object
  - equals
```
public boolean equals(Vect v)
```
  - equals
```
public boolean equals(java.lang.Object o)
```
    Overrides:
    
    equals in class java.lang.Object
  - hashCode
```
public int hashCode()
```
    Overrides:
    
    hashCode in class java.lang.Object

Class Vect

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

ZERO

X_HAT

Y_HAT

Constructor Detail

Vect

Vect

Vect

Vect

Method Detail

angle

length

x

y

distanceSquared

plus

minus

rotateBy

neg

times

projectOn

unitSize

dot

toPoint2D

toString

equals

equals

hashCode