Vector used for 3D math.
3-element structure that can be used to represent positions in 3D space or any other triplet of numeric values.
[b]Note:[/b] In a boolean context, a Vector3 will evaluate to [code]false[/code] if it's equal to [code]Vector3(0, 0, 0)[/code]. Otherwise, a Vector3 will always evaluate to [code]true[/code].
$DOCS_URL/tutorials/math/index.md
$DOCS_URL/tutorials/math/vector_math.md
$DOCS_URL/tutorials/math/vectors_advanced.md
https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab
https://godotengine.org/asset-library/asset/584
https://github.com/Relintai/pandemonium_demo_projects/tree/master/3d
Returns a Vector3 with the given components.
Returns a new vector with all components in absolute values (i.e. positive).
Returns the unsigned minimum angle to the given vector, in radians.
Returns the vector "bounced off" from a plane defined by the given normal.
Returns a new vector with all components rounded up (towards positive infinity).
Returns the cross product of this vector and [code]b[/code].
This returns a vector perpendicular to both this and [code]b[/code], which would be the normal vector of the plane defined by the two vectors. As there are two such vectors, in opposite directions, this method returns the vector defined by a right-handed coordinate system. If the two vectors are parallel this returns an empty vector, making it useful for testing if two vectors are parallel.
Performs a cubic interpolation between this vector and [code]b[/code] using [code]pre_a[/code] and [code]post_b[/code] as handles, and returns the result at position [code]weight[/code]. [code]weight[/code] is on the range of 0.0 to 1.0, representing the amount of interpolation.
Returns the normalized vector pointing from this vector to [code]b[/code]. This is equivalent to using [code](b - a).normalized()[/code].
Returns the squared distance between this vector and [code]b[/code].
This method runs faster than [method distance_to], so prefer it if you need to compare vectors or need the squared distance for some formula.
Returns the distance between this vector and [code]b[/code].
Returns the dot product of this vector and [code]b[/code]. This can be used to compare the angle between two vectors. For example, this can be used to determine whether an enemy is facing the player.
The dot product will be [code]0[/code] for a straight angle (90 degrees), greater than 0 for angles narrower than 90 degrees and lower than 0 for angles wider than 90 degrees.
When using unit (normalized) vectors, the result will always be between [code]-1.0[/code] (180 degree angle) when the vectors are facing opposite directions, and [code]1.0[/code] (0 degree angle) when the vectors are aligned.
[b]Note:[/b] [code]a.dot(b)[/code] is equivalent to [code]b.dot(a)[/code].
Returns a new vector with all components rounded down (towards negative infinity).
Returns the inverse of the vector. This is the same as [code]Vector3( 1.0 / v.x, 1.0 / v.y, 1.0 / v.z )[/code].
Returns [code]true[/code] if this vector and [code]v[/code] are approximately equal, by running [method @GDScript.is_equal_approx] on each component.
Returns [code]true[/code] if the vector is normalized, [code]false[/code] otherwise.
Returns [code]true[/code] if this vector's values are approximately zero, by running [method @GDScript.is_zero_approx] on each component.
This method is faster than using [method is_equal_approx] with one value as a zero vector.
Returns the length (magnitude) of this vector.
Returns the squared length (squared magnitude) of this vector.
This method runs faster than [method length], so prefer it if you need to compare vectors or need the squared distance for some formula.
Returns the vector with a maximum length by limiting its length to [code]length[/code].
Returns the result of the linear interpolation between this vector and [code]to[/code] by amount [code]t[/code]. [code]weight[/code] is on the range of 0.0 to 1.0, representing the amount of interpolation.
Returns the axis of the vector's largest value. See [code]AXIS_*[/code] constants. If all components are equal, this method returns [constant AXIS_X].
Returns the axis of the vector's smallest value. See [code]AXIS_*[/code] constants. If all components are equal, this method returns [constant AXIS_Z].
Returns a new vector moved toward [code]to[/code] by the fixed [code]delta[/code] amount. Will not go past the final value.
Returns the vector scaled to unit length. Equivalent to [code]v / v.length()[/code].
Returns the outer product with [code]b[/code].
Returns a vector composed of the [method @GDScript.fposmod] of this vector's components and [code]mod[/code].
Returns a vector composed of the [method @GDScript.fposmod] of this vector's components and [code]modv[/code]'s components.
Returns this vector projected onto the vector [code]b[/code].
Returns this vector reflected from a plane defined by the given normal.
Rotates this vector around a given axis by [code]phi[/code] radians. The axis must be a normalized vector.
Returns a new vector with all components rounded to the nearest integer, with halfway cases rounded away from zero.
Returns a new vector with each component set to one or negative one, depending on the signs of the components. If a component is zero, it returns positive one.
Returns the signed angle to the given vector, in radians. The sign of the angle is positive in a counter-clockwise direction and negative in a clockwise direction when viewed from the side specified by the [code]axis[/code].
Returns the result of spherical linear interpolation between this vector and [code]to[/code], by amount [code]weight[/code]. [code]weight[/code] is on the range of 0.0 to 1.0, representing the amount of interpolation.
[b]Note:[/b] Both vectors must be normalized.
Returns this vector slid along a plane defined by the given normal.
Returns this vector with each component snapped to the nearest multiple of [code]step[/code]. This can also be used to round to an arbitrary number of decimals.
Returns a diagonal matrix with the vector as main diagonal.
This is equivalent to a Basis with no rotation or shearing and this vector's components set as the scale.
The vector's X component. Also accessible by using the index position [code][0][/code].
The vector's Y component. Also accessible by using the index position [code][1][/code].
The vector's Z component. Also accessible by using the index position [code][2][/code].
Enumerated value for the X axis. Returned by [method max_axis] and [method min_axis].
Enumerated value for the Y axis. Returned by [method max_axis] and [method min_axis].
Enumerated value for the Z axis. Returned by [method max_axis] and [method min_axis].
Zero vector, a vector with all components set to [code]0[/code].
One vector, a vector with all components set to [code]1[/code].
Infinity vector, a vector with all components set to [constant @GDScript.INF].
Left unit vector. Represents the local direction of left, and the global direction of west.
Right unit vector. Represents the local direction of right, and the global direction of east.
Up unit vector.
Down unit vector.
Forward unit vector. Represents the local direction of forward, and the global direction of north.
Back unit vector. Represents the local direction of back, and the global direction of south.