A vector is a ID array (like the ones we\'ve been studying in class) with variou

Question

A vector is a ID array (like the ones we've been studying in class) with various mathematical properties. Consider two vectors U and V, both of length n: U = (u_1, u_2, u_3, ..., u_n), V = (v_1, v_2, v_3 ..., vn) The dot product of U and V, denoted U middot V, is the sum of the pairwise products of their elements: U middot V = sigma^n _i = 1 u_i middot v_i = u_1 middot v_1 + u_2 middot v_2 + u_3 middot v_3 + ... + u_n middot v_n Write a function (NOT A PROGRAM) that calculates and returns the dot product of two vectors of the same length. It should take the following arguments: two float arrays of the same length; an int representing the length of both arrays.

Explanation / Answer

float dot_product(float[] u, float[] v, int len)       // the function dot_product to calculate the the dot product of vectors u //and    v arrays that are passed to this function and returns a float value which is result of dot product

{

flot res=0.0; //result intialized to zero

for(int i=0;i<=len; i++)   // loop to run length times

{

res=res+u[i]*v[i]; //to calculate the product of corresponding elements of u and v and adding it to res

}

return res;   // return the result of dot product

}

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