6. A three-dimensional vector has the form:A = (x, y, z)can be represented as:given the vectors:Example:Their sum is:Example:struct VECTOR { double x; double y; double z; };A = ( a, b, c ) (5, 6, 2)andB = ( d, e, f ) (3, 1,9)A + B = ( a + d, b + e, c + f ) (5 + 3, 6 + 1, 2 + 9)= (8, 7,11)A B = a x d + b x e + c x fTheir scalar product is:(result is a scalar) example: 5 x 3 + 6 x 1 + 2 x 9 = 39Write the complete definition code for the functions:a. calc_sum computes and returns the sum of two vectorsb. scalar_prod computes and returns the scalar product of two vectors 6. A three-dimensional vector has the form: A= (x, y, z)can be represented as:struct VECTOR {double x;double y;doubleZ;};given the vectors:A = (a, b, c)and(d, e, f )B =Example:(5, 6, 2)(3, 1,9)Their sum is:A +B =(а + d, b + е, с + f)Example:(5 +3, 6 + 1, 2 +9)= (8, 7,11)||Their scalar product is:АВ 3 а хd +bxе+сxf(result is a scalar)example:5 х3 +6х 1 + 2 х 9 %3D 39Write the complete definition code for the functions:calc _sumcomputes and returns the sum of two vectorsа.b. scalar_prodcomputes and returns the scalar product of two vectors

As no programming language is mentioned, it is solved using basic C++

Answered: 6. A three-dimensional vector has the…

Engineering

Computer Science

6. A three-dimensional vector has the form: A = (x, y, z) can be represented as: given the vectors: Example:

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter13: Structures

Section: Chapter Questions

Problem 4PP

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Question

6. A three-dimensional vector has the form:

A = (x, y, z)

can be represented as:

given the vectors:

Example:

Their sum is:
Example:

struct VECTOR { double x; double y; double z; };

A = ( a, b, c ) (5, 6, 2)

and

B = ( d, e, f ) (3, 1,9)

A + B = ( a + d, b + e, c + f ) (5 + 3, 6 + 1, 2 + 9)

= (8, 7,11)
A B = a x d + b x e + c x f

Their scalar product is:
(result is a scalar) example: 5 x 3 + 6 x 1 + 2 x 9 = 39

Write the complete definition code for the functions:

a. calc_sum computes and returns the sum of two vectors

b. scalar_prod computes and returns the scalar product of two vectors

6. A three-dimensional vector has the form: A= (x, y, z)
can be represented as:
struct VECTOR {
double x;
double y;
double
Z;
};
given the vectors:
A = (a, b, c)
and
(d, e, f )
B =
Example:
(5, 6, 2)
(3, 1,9)
Their sum is:
A +B =
(а + d, b + е, с + f)
Example:
(5 +3, 6 + 1, 2 +9)
= (8, 7,11)
||
Their scalar product is:
АВ 3 а хd +bxе+сxf
(result is a scalar)
example:
5 х3 +6х 1 + 2 х 9 %3D 39
Write the complete definition code for the functions:
calc _sum
computes and returns the sum of two vectors
а.
b. scalar_prod
computes and returns the scalar product of two vectors

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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