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1. The dot produet of two vectors a = (a, az, az, ..., an) and b = (b, bz, by, ..., b,) is defined by a.b = £a,b, = a,b, +a,b; +.+a,b, . The angle 0 between two vectors a and b is defined as a.b cose = | a || b|| where a.b is the dot product of the two vectors a and b, and | a| and | b| are the magnitudes of a and b where lel=ei +c} +c} ++c; if e= (c1, c2, c3, ...c). Write a C++ program that reads in two vectors Vi= (a1, az, a;) and V2 = (b1, bz, b3) which computes the dot product and angle between these vectors. The program should contain the following functions: void main () - which reads in the vectors Vi and Vz and calls functions to compute the dot product of these two vectors, and compute the angle between these vectors. The vectors should be saved in arrays. void dot_product (double Vi(], double V2[], double sdot_product) computes the dot product of Vị and V; and returns the result via a reference parameter of type double. void vector_angle (double vi[], double v2[], double dot_product, double sangle) - computes the angle between Vi and Vz and returns the result via a reference variable of type double. You can call the built-in function acos () located in the header file to compute the are cosine of an argument (In C++, 0 = cos (x) becomes theta - acos (x); ).

1. The dot produet of two vectors a = (a, az, az, ..., an) and b = (b, bz, by, ..., b,) is defined by a.b = £a,b, = a,b, +a,b; +.+a,b, . The angle 0 between two vectors a and b is defined as a.b cose = | a || b|| where a.b is the dot product of the two vectors a and b, and | a| and | b| are the magnitudes of a and b where lel=ei +c} +c} ++c; if e= (c1, c2, c3, ...c). Write a C++ program that reads in two vectors Vi= (a1, az, a;) and V2 = (b1, bz, b3) which computes the dot product and angle between these vectors. The program should contain the following functions: void main () - which reads in the vectors Vi and Vz and calls functions to compute the dot product of these two vectors, and compute the angle between these vectors. The vectors should be saved in arrays. void dot_product (double Vi(], double V2[], double sdot_product) computes the dot product of Vị and V; and returns the result via a reference parameter of type double. void vector_angle (double vi[], double v2[], double dot_product, double sangle) - computes the angle between Vi and Vz and returns the result via a reference variable of type double. You can call the built-in function acos () located in the header file to compute the are cosine of an argument (In C++, 0 = cos (x) becomes theta - acos (x); ).

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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E-learning https://elearning.usm.my Lab 8.pdf Lab 8.pdf 1 / 3 90% + an) and b = (b,, b2, b3, ..., b,) is defined 1. The dot product of two vectors a = (a1, a2, a3, ..., by a.b = Za,b, = a,b, +a,b, +..+a„b, . i=l The angle 0 between two vectors a and b is defined as a.b cos 0 = |a || b | where a.b is the dot product of the two vectors a and b, and | a| and | b| are the magnitudes of a and b where |c|=yc? +c3 +cị+..+c; if c= (c1, c2, c3, ...,Cn). Write a C++ program that reads in two vectors V1= (a1, a2, a3) and V2 = (b1, b2, b3) which computes the dot product and angle between these vectors. The program should contain the following functions: void main () – which reads in the vectors V1 and V2 and calls functions to compute the dot product of these two vectors, and compute the angle between these vectors. The vectors should be saved in arrays. void dot_product (double V1[], double V2[], double &dot_product) computes the dot product of V1 and V2 and returns the result via a reference parameter of type double. void vector_angle (double vi[], double V2[], double dot_product, double &angle) - computes the angle between Vi and V2 and returns the result via a reference variable of type double. You can call the built-in function acos () located in the header file <cmath> to compute the arc cosine of an argument (In C++, 0 = cos- 1 (x) becomes theta = acos (x); ). A sample output of this program is as follows: first vector V1: 2 4 5 Enter the second vector V2: 1 2 3 <enter> Enter <enter> 3 The dot product of v1 and V2 is 25. The angle between V1 and V2 is 0.0892 rads. Do you want to process for another set of vectors? Type 'y' if yes, 'n' if no: n 11:32 PM O Type here to search 日 O G ») ENG IMI U 15/2/2021
Transcribed Image Text:E-learning https://elearning.usm.my Lab 8.pdf Lab 8.pdf 1 / 3 90% + an) and b = (b,, b2, b3, ..., b,) is defined 1. The dot product of two vectors a = (a1, a2, a3, ..., by a.b = Za,b, = a,b, +a,b, +..+a„b, . i=l The angle 0 between two vectors a and b is defined as a.b cos 0 = |a || b | where a.b is the dot product of the two vectors a and b, and | a| and | b| are the magnitudes of a and b where |c|=yc? +c3 +cị+..+c; if c= (c1, c2, c3, ...,Cn). Write a C++ program that reads in two vectors V1= (a1, a2, a3) and V2 = (b1, b2, b3) which computes the dot product and angle between these vectors. The program should contain the following functions: void main () – which reads in the vectors V1 and V2 and calls functions to compute the dot product of these two vectors, and compute the angle between these vectors. The vectors should be saved in arrays. void dot_product (double V1[], double V2[], double &dot_product) computes the dot product of V1 and V2 and returns the result via a reference parameter of type double. void vector_angle (double vi[], double V2[], double dot_product, double &angle) - computes the angle between Vi and V2 and returns the result via a reference variable of type double. You can call the built-in function acos () located in the header file <cmath> to compute the arc cosine of an argument (In C++, 0 = cos- 1 (x) becomes theta = acos (x); ). A sample output of this program is as follows: first vector V1: 2 4 5 Enter the second vector V2: 1 2 3 <enter> Enter <enter> 3 The dot product of v1 and V2 is 25. The angle between V1 and V2 is 0.0892 rads. Do you want to process for another set of vectors? Type 'y' if yes, 'n' if no: n 11:32 PM O Type here to search 日 O G ») ENG IMI U 15/2/2021
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