Class Vector

constructor

• new Vector(x, y, w?): Vector

• Constructs a vector.

  Parameters

  • x: number

  • y: number

  • Optional w: number

    This is the third component in the vector. This component is used when for example performing transformations. Then a matrix multiplication might result in the w component becoming not equal to 1. In this case one should normalize the vector so that w becomes one again to have a valid vector.

    Why does this happen with matrix multiplications? Well most often it doesn't, for example translate operations or rotations don't cause this. But if you use Skew operations, this is might happen. I'd need to read up on it more myself to have a better answer.

  Returns Vector

Optional w

x

y

Static null

asArray

• asArray(): number[]

• Returns this vector as an array of numbers as [x, y, w]

  Returns number[]

asPoint

• asPoint(): Point

• Returns a point with the same x and y as this vector.

  Returns Point

clockwisePerpendicular

• clockwisePerpendicular(): Vector

• Returns the clockwise perpendicular vector to this one. A perpendicular vector can be found by defining a vector where the dot product equals 0. Now, there will be two perpendicular vectors, one that is defined clockwise, and one that is found counter clockwise.

  Returns Vector

cross

• cross(v2): number

• Returns the scalar value of the cross product between this vector and v2. Normally cross product is performed in three dimensions, but here we assume z value equals 0, and returns then the size of the resulting z dimension.

  Parameters

  • v2: Vector

  Returns number

dot

• dot(v2): number

• Gives the dot product between the two vectors.

  Parameters

  • v2: Vector

  Returns number

isNullVector

• isNullVector(): boolean

• Returns whether this vector is the null vector (x and y components are null) or not.

  Returns boolean

minus

• minus(other): Vector

• Returns this vector minus the other vector.

  Parameters

  • other: Vector

  Returns Vector

norm2

• norm2(): number

• The euclidean length of this vector.

  Returns number

normed

• normed(): Vector

• Returns a vector that is normalized to have norm2 = 1, pointing in the same direction as this vector.

  Returns Vector

parallel

• parallel(other): boolean

• Return true if this vector is pointing in the same direction as the other vector.

  Parameters

  • other: Vector

  Returns boolean

perpendicularComponentTo

• perpendicularComponentTo(other): Vector

• Returns the perpendicular component vector of this vector compared to another vector.

  Parameters

  • other: Vector

  Returns Vector

plus

• plus(other): Vector

• Returns the vector that is this vector plus another one.

  Parameters

  • other: Vector

  Returns Vector

projectOnto

• projectOnto(other): Vector

• Returns this vector projected onto the other vector.

  Parameters

  • other: Vector

  Returns Vector

reverse

• reverse(): Vector

• Returns a vector pointing in the opposite direction of this vector.

  Returns Vector

scale

• scale(factor): Vector

• Returns a new vector that is this vector multiplied by the given scalar.

  Parameters

  • factor: number

  Returns Vector

square

• square(): number

• This vector dot producted with itself.

  Returns number

toString

• toString(): string

• Returns this vector in string form.

  Returns string

Static fromArray

• fromArray(a): Vector

• Parameters

  • a: number[]

  Returns Vector