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> ## Static Methods Relevant to Vector2Bvr Objects

> ###

> add

> Statics Class

> Creates a two-dimensional vector behavior that is the vector-valued sum of the two vectors.

> public static Vector2Bvr add(
> Vector2Bvr v1,
> Vector2Bvr v2
> );

> ##### Parameters

> v1 and v2
>   The Vector2Bvr objects.

> ##### Return Values

> Returns the Vector2Bvr object.

> ##### See Also

> sub

> ###

> bSpline

> Statics Class

> Creates a Vector2Bvr behavior based on a B-spline function. The function depends on the control elements, the knot vector, the mathematical degree, and the weights of the control elements (these are optional).

> A B-spline function without weights is piecewise polynomial and with weights is piecewise rational (the quotient of two polynomials). It requires that:

> numberOfControlElements = numberOfKnots - degree + 1

> The control elements define the approximate direction and shape of the function. The knots represent junction values, in parameter space, between the connected polynomial parts.

> Given a degree d and a number of knots k, the function is valid in the range knotd to knotk-d+1, and is otherwise undefined. For example, for a degree 2 curve, the valid range is from the second knot to the next to the last knot, inclusive.

> The returned Vector2Bvr is the traversal of the spline function according to the evaluation parameter. The evaluation parameter is a NumberBvr that must be in the valid range of the spline, which is [knotd, knotk-d+1]. Any values outside this range are automatically clamped to the end values.

> public static Vector2Bvr bSpline(
> int degree,
> NumberBvr[] knots,
> Vector2Bvr[] control_elements,
> NumberBvr[] weights,
> NumberBvr evaluation
> );

> ##### Parameters

> degree
>   A number representing the mathematical degree of the B-spline to evaluate. Must be 1, 2, or 3.
> knots
>   An array of NumberBvr objects representing the knots used to calculate the B-spline.
> control_elements
>   An array of Point2Bvr objects representing the control elements used to calculate the B-spline.
> weights
>   An array of NumberBvr objects representing the weights used to calculate the rational B-spline. There must be the same number of weights as control elements. For non-rational B-splines, the value of weights is null.
> evaluation
>   A NumberBvr object that controls the spline evaluation.

> ##### Return Values

> Returns the Vector2Bvr object.

> ###

> derivative

> Statics Class

> Creates a new, two-dimensional vector behavior that is the instantaneous derivative (rate of change) of the given vector behavior. For example, a constant vector behavior yields a constant derivative of [0 0], and vector2(time, 0) (without any additional time substitutions) yields a constant derivative vector of [1 0].

> public static Vector2Bvr derivative(
> Vector2Bvr vec
> );

> ##### Parameters

> vec
>   A Vector2Bvr object.

> ##### Return Values

> Returns the Vector2Bvr object.

> ###

> dot

> Statics Class

> Creates a number behavior that represent the "dot product" of the given vectors. The dot product is the product of the lengths of the vectors and the cosine of the angle between them.

> public static NumberBvr dot(
> Vector2Bvr v1,
> Vector2Bvr v2
> );

> ##### Parameters

> v1 and v2
>   The Vector2Bvr objects.

> ##### Return Values

> Returns the NumberBvr object.

> ###

> integral

> Statics Class

> Creates an two-dimensional vector that represents the sum of the all values of vec from the given start time to the present.

> public static Vector2Bvr integral(
> Vector2Bvr vec
> );

> ##### Parameters

> a
>   The Vector2Bvr object.

> ##### Return Values

> Returns the Vector2Bvr object.

> ###

> neg

> Statics Class

> Creates a new two-dimensional vector that is the same length as the original vector but points in the opposite direction.

> public static Vector2Bvr neg(
> Vector2Bvr v1
> );

> ##### Parameters

> v1
>   A Vector2Bvr object that is the original vector.

> ##### Return Values

> Returns the Vector2Bvr object.

> ###

> sub

> Statics Class

> Creates a two-dimensional vector behavior. The direction and length of the vector are calculated by subtracting the coordinates of v2 from the corresponding coordinates of v1.

> public static Vector2Bvr sub(
> Vector2Bvr v1,
> Vector2Bvr v2
> );

> ##### Parameters

> v1 and v2
>   The Vector2Bvr objects.

> ##### Return Values

> Returns the Vector2Bvr object.

> ##### See Also

> add

> ###

> vector2

> Statics Class

> Creates a two-dimensional vector behavior, having a direction and length as specified by the given Cartesian coordinates.

> public static Vector2Bvr vector2(
> NumberBvr x,
> NumberBvr y
> );

> ##### Parameters

> x
>   The NumberBvr object specifying the distance along the x-axis from the origin to a point. This parameter can also be of type double.
> y
>   NumberBvr object specifying the distance along the y-axis. This parameter can also be of type double.

> ##### Return Values

> Returns the Vector2Bvr object.

> ##### See Also

> vector2Polar

> ###

> vector2Polar

> Statics Class

> Creates a two-dimensional vector behavior, having a direction and length as specified by the given polar coordinates.

> public static Vector2Bvr vector2Polar(
> NumberBvr XYangle,
> NumberBvr length
> );

> ##### Parameters

> XYangle
>   The NumberBvr object that is the counter-clockwise angle of the vector, in radians, from the positive x-ray. This parameter can also be of type double.
> length
>   The NumberBvr object that is the length of the vector. This parameter can also be of type double.

> ##### Return Values

> Returns the Vector2Bvr object.

> ##### See Also

> vector2

> ###

> vector2PolarDegrees

> Statics Class

> Creates a two-dimensional vector behavior, having a direction and length as specified by the given polar coordinates.

> public static Vector2Bvr vector2PolarDegrees(
> double XYangle,
> double length
> );

> ##### Parameters

> XYangle
>   The double that is the counter-clockwise angle of the vector (expressed in degrees) from the positive x-ray.
> length
>   The double that is the length of the vector.

> ##### Return Values

> Returns the Vector2Bvr object.

> © 1998 Microsoft Corporation. All rights reserved. Terms of Use.

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