tut_arithmetic_dot_cross.cpp
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	#include <iostream>
	#include <Eigen/Dense>

	using namespace Eigen;
	using namespace std;
	int main()
	{
	Vector3d v(1,2,3);
	Vector3d w(0,1,2);

	cout << "Dot product: " << v.dot(w) << endl;
	double dp = v.adjoint()*w; // automatic conversion of the inner product to a scalar
	cout << "Dot product via a matrix product: " << dp << endl;
	cout << "Cross product:\n" << v.cross(w) << endl;
	}