plz in c++ tks. For example:TestResultVector3 pVector3(0.0, 2.0, 0.0);(-2.00, 2.00, 4.00)%DVector3 u =Vector3(0.0, 1.0, 0.0);Vector3(-1.0, 0.0, 0.0);Vector3(0.0, 0.0, 1.0);Vector3 v =Vector3 n =Vector3 uvnOriginVector3(0.0, 2.0, 4.0);Vector3 a =Vector3(1.0, 0.0, 0.0);Vector3 bVector3(0.0, 1.0, 0.0);Vector3 cVector3(0.0, 0.0, 1.0);Vector3 abcoriginVector3(0.0, 0.0, 0.0);Vector3 tp = transformCoordinateSystem(p, u, v, n, uvnOrigin, a, b, c, abcOrigin);%3Dprintf("(%.21f, %.21f, %.21f)", tp.x, tp.y, tp.z); Write a function transformCoordinateSystem(), which takes a point defined in some coordinate system, and transformsit to a new coordinate system.The first coordinate system is described by the axis vectors u, v, and n, and has an origin located at uvnOrigin. Thesecond coordinate system is described by the axis vectors a, b, and c, and has an origin located at abcOrigin. The axisvectors and origins of both coordinate systems are defined with respect to the global xyz coordinate system.The point to be transformed is given by the parameter point, and describes the location of the point in the uvncoordinate system. Your function must return the location of point when described in the abc coordinate system.Your function should have the following signature:Vector3 transformCoordinateSystem(Vector3 point, Vector3 u, Vector3 v, Vector3 n, Vector3 uvnOrigin,Vector3 a, Vector3 b, Vector3 c, Vector3 abcOrigin)You can assume that each of the vectors u, v, n, a, b, and c, are unit vectors.You can assume that Vector3 is a class that represents a 3D vector, and exposes fields named x, y, and z, and that thefollowing functions are available to you:double dot(Vector3 u, Vector3 v) //dot productVector3 cross(Vector3 u, Vector3 v) //cross productIn addition, you can assume the + and - operators are available for the Vector3 class.You can assume that the Vector3 class has the following member functions available to you:Vector3 Vector3::normalized() //returns a vector pointing in the same direction with length 1double Vector3:magnitude() //returns the length of the vectorHint: The x, y, and z components of the Vector class represent the location of the point in the corresponding axis ofwhichever coordinate system it is located within (e.g. the point is initially located within the uvn coordinate system, sopoint.x represents how far away it is from the uvn origin along the u-axis).Hint: You may find it useful to make yourself a diagram of some of the test cases.For example:

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plz in c++ tks. For example:TestResultVector3 pVector3(0.0, 2.0, 0.0);(-2.00, 2.00, 4.00)%DVector3 u =Vector3(0.0, 1.0, 0.0);Vector3(-1.0, 0.0, 0.0);Vector3(0.0, 0.0, 1.0);Vector3 v =Vector3 n =Vector3 uvnOriginVector3(0.0, 2.0, 4.0);Vector3 a =Vector3(1.0, 0.0, 0.0);Vector3 bVector3(0.0, 1.0, 0.0);Vector3 cVector3(0.0, 0.0, 1.0);Vector3 abcoriginVector3(0.0, 0.0, 0.0);Vector3 tp = transformCoordinateSystem(p, u, v, n, uvnOrigin, a, b, c, abcOrigin);%3Dprintf(&#34;(%.21f, %.21f, %.21f)&#34;, tp.x, tp.y, tp.z); Write a function transformCoordinateSystem(), which takes a point defined in some coordinate system, and transformsit to a new coordinate system.The first coordinate system is described by the axis vectors u, v, and n, and has an origin located at uvnOrigin. Thesecond coordinate system is described by the axis vectors a, b, and c, and has an origin located at abcOrigin. The axisvectors and origins of both coordinate systems are defined with respect to the global xyz coordinate system.The point to be transformed is given by the parameter point, and describes the location of the point in the uvncoordinate system. Your function must return the location of point when described in the abc coordinate system.Your function should have the following signature:Vector3 transformCoordinateSystem(Vector3 point, Vector3 u, Vector3 v, Vector3 n, Vector3 uvnOrigin,Vector3 a, Vector3 b, Vector3 c, Vector3 abcOrigin)You can assume that each of the vectors u, v, n, a, b, and c, are unit vectors.You can assume that Vector3 is a class that represents a 3D vector, and exposes fields named x, y, and z, and that thefollowing functions are available to you:double dot(Vector3 u, Vector3 v) //dot productVector3 cross(Vector3 u, Vector3 v) //cross productIn addition, you can assume the + and - operators are available for the Vector3 class.You can assume that the Vector3 class has the following member functions available to you:Vector3 Vector3::normalized() //returns a vector pointing in the same direction with length 1double Vector3:magnitude() //returns the length of the vectorHint: The x, y, and z components of the Vector class represent the location of the point in the corresponding axis ofwhichever coordinate system it is located within (e.g. the point is initially located within the uvn coordinate system, sopoint.x represents how far away it is from the uvn origin along the u-axis).Hint: You may find it useful to make yourself a diagram of some of the test cases.For example:

Accepted Answer

#include #include using namespace std; class Vector3 {public:…