math4610

Homework, Material, and Software Manual for Math 4610


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Dot Product (Inner Product)

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Routine Name: innervectorprod

Author: Tanner Wheeler

Language: Python. This code can be run on a python 3 compiler. The file can be imported and then the method will run.

Description/Purpose: This method will take the dot product of two vectors of the same length and return its value.

Input: The two input needed for this method are two vector arrays of the same length.

Output: This will return a double value of the dot product from the two inputs. If the vectors aren’t the same length then it will return an error message.

Usage/Example: First let’s create two vectors c and d of size 3 and set each element to a specific number.

c = [float(0) for i in range(0, 3)]
d = [float(0) for i in range(0, 3)]

c[0] = 1.5
c[1] = 9.4
c[2] = 3.3

d[0] = 1
d[1] = 9
d[2] = 3

Now let’s print out the value return from our function given our created vectors.

print(innervectorprod(c, d))

This will print

96.0

to the console.

Implementation/Code: The following is the code for innervectorprod(x, y)

def innervectorprod(x, y):
    if len(x) != len(y):
        return "Error inconsistent lengths!"
    
    numSum = 0.0
    for i in range(0, len(x)):
        numSum = numSum + (x[i] * y[i])
        
    return numSum

Last Modified: December 2018