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Please help me with this C++ challenge, please try to use basic code using the preprocessor directive (#include), the program can use only iostream, iomanip,

Please help me with this C++ challenge, please try to use basic code using the preprocessor directive (#include), the program can use only iostream, iomanip, cmath, math, and string.

Program Objective

Write a program that asks the user to enter two vectors and then calculates and displays the dot product of the two vectors.

Background

The dot product of the two vectors 1, 2, ... , and 1, 2, ... , is calculated as 1,2,...,1,2,...,= 11 +22 ++

Note that the two vectors must have the same dimension (length) in order to calculate their dot product.

Program Specifications

You program must:

  • Ask the user to enter the dimension (i.e. length) of the vectors.

  • Read the components of each vector into two separate arrays (one array for the

    first vector and a second array for the second vector).

  • Use a for loop to read in the components of the first vector.

  • Use another for loop to read in the components of the second vector.

  • Use yet another for loop to calculate the dot product.

  • Display the dot product of the two vectors.

    You may assume that the largest vector dimension that the user will enter is 10.

The following are two examples of correct execution of the program:

This program calculates the dot product of two vectors. Enter the dimension (length) of the two vectors: 3 Enter the 3 components of the first vector separated by spaces. 1 -2 3 Enter the 3 components of the second vector separated by spaces. 4 5 -1 The dot product of the two vectors is -9

This program calculates the dot product of two vectors. Enter the dimension (length) of the two vectors: 4 Enter the 4 components of the first vector separated by spaces. 7.4 2.1 3 -5.6 Enter the 4 components of the second vector separated by spaces. -1.0 -3.55 5.02 -6.9 The dot product of the two vectors is 38.845

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