C++:3D Exercises

Dot Product

Calculate the dot product of two vectors. Fill in the details in the function dotproduct

Wikipedia includes a good article on dot products. http://en.wikipedia.org/wiki/Dot_product#Definition

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#include <math.h> #include <iostream> using namespace std; float dotproduct(float a[3], float b[3]){ float r = 0; // Your code goes here return r; } int main(int argc, char **argv) { float A[]={1,0,1}; float B[]={1,1,2}; float d = dotproduct(A,B); cout << d<< endl; return 0; }

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Cross Product

Calculate the cross product of two vectors. Fill in the details in the function crossproduct

Wikipedia includes a good article on cross products. http://en.wikipedia.org/wiki/Cross_product#Coordinate_notation

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#include <math.h> #include <iostream> using namespace std; float *subtract(float a[3], float b[3]){ float *r = new float[3]; for (int i=0;i<3;i++) r[i] = a[i]-b[i]; return r; } float *crossproduct(float a[3], float b[3]){ float *r = new float[3]; // Your code goes here return r; } int main(int argc, char **argv) { float A[]={1,0,1}; float B[]={1,1,2}; float *C = crossproduct(A,B); cout << C[0]<<" "<<C[1]<<" "<<C[2]<< endl; return 0; }

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Vector Length

Calculate the magnitude of a vector. Fill in the details in the function length

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#include <math.h> #include <iostream> using namespace std; float length(float a[3]){ float r=0; // Your code goes here return r; } int main(int argc, char **argv) { float A[]={1,0,1}; float B[]={1,1,2}; cout << length(A)<< endl; cout << length(B)<< endl; return 0; }

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Normal to a plane

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