The XNA Framework provides the Vector2, Vector3, and Vector4 classes for representing and manipulating vectors. Each vector class has methods for performing standard vector operations such as dot product, cross product, normalization, transformation, and interpolation.

The XNA Framework provides the Matrix class for transformation of vectors. The Matrix class provides methods for performing standard matrix operations such as addition, subtraction, and multiplication, in addition to helper methods for creating scale, translation, and rotation matrices.

The XNA Framework provides the BoundingBox, BoundingFrustum, BoundingSphere, Plane, and Ray classes for representing world geometry. These classes have methods for checking for intersection and containment with each other.

The XNA Framework provides the MathHelper class for manipulating scalar values and retrieving some common mathematical constants. The MathHelper class also has utility methods for converting between degrees and radians.

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