• Your solution to this lab problem should be uploaded to the Lab Problem 8 dropbox on the course Brightspace shell. Name your file vectors.c. • The dropbox for this lab problem will close at 11:59pm NL time on March 19th. Late submissions will not be accepted. 1. A point in three-dimensional space can be represented as p = rỉ + y3 + zk, where r is the component of p in the r direction, y is the component of p in the y direction, and z is the component of p in the z direction. Such a point can be written as a vector, or one-dimensional array (x, y, 2). The dot product of two vectors p1 = (x1, Y1, 21) and P2 = (x2, Y2, 2) is given by, Pi P2 = x1X2 + y142 + 212. The length of a vector ||p|| is defined by ||p|| = Vr² + y² + 2² = VP p. The cross product of p1 and p2 is given by, P1 x P2 = (y12 – Y221)i+ (ž1ª2 – z3ł1)i + (r1¥2 – 12Y1)k. The angle 0 between two vectors pi and p2 can be computed using the relationship, P1 • P2 cos = Write a C program to ask the user to input values for two three-dimensional vectors, and compute and display their dot product and cross product, as well as the angle between the two vectors. You should include separate functions for the dot product, the cross product, and the length of a vector. The length function should make use of the dot product function.
• Your solution to this lab problem should be uploaded to the Lab Problem 8 dropbox on the course Brightspace shell. Name your file vectors.c. • The dropbox for this lab problem will close at 11:59pm NL time on March 19th. Late submissions will not be accepted. 1. A point in three-dimensional space can be represented as p = rỉ + y3 + zk, where r is the component of p in the r direction, y is the component of p in the y direction, and z is the component of p in the z direction. Such a point can be written as a vector, or one-dimensional array (x, y, 2). The dot product of two vectors p1 = (x1, Y1, 21) and P2 = (x2, Y2, 2) is given by, Pi P2 = x1X2 + y142 + 212. The length of a vector ||p|| is defined by ||p|| = Vr² + y² + 2² = VP p. The cross product of p1 and p2 is given by, P1 x P2 = (y12 – Y221)i+ (ž1ª2 – z3ł1)i + (r1¥2 – 12Y1)k. The angle 0 between two vectors pi and p2 can be computed using the relationship, P1 • P2 cos = Write a C program to ask the user to input values for two three-dimensional vectors, and compute and display their dot product and cross product, as well as the angle between the two vectors. You should include separate functions for the dot product, the cross product, and the length of a vector. The length function should make use of the dot product function.
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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Transcribed Image Text:• Your solution to this lab problem should be uploaded to the Lab Problem 8 dropbox
on the course Brightspace shell.
Name your file vectors.c.
• The dropbox for this lab problem will close at 11:59pm NL time on March 19th. Late
submissions will not be accepted.
1. A point in three-dimensional space can be represented as
p = rỉ + y3 + zk,
where r is the component of p in the r direction, y is the component of p in the y
direction, and z is the component of p in the z direction. Such a point can be written
as a vector, or one-dimensional array (x, y, 2).
The dot product of two vectors p1 = (x1, Y1, 21) and P2 = (x2, Y2, 2) is given by,
Pi P2 = x1X2 + y142 + 212.
The length of a vector ||p|| is defined by
||p|| = Vr² + y² + 2² =
VP p.
The cross product of p1 and p2 is given by,
P1 x P2 = (y12 – Y221)i+ (ž1ª2 – z3ł1)i + (r1¥2 – 12Y1)k.
The angle 0 between two vectors pi and p2 can be computed using the relationship,
P1 • P2
cos =
Write a C program to ask the user to input values for two three-dimensional vectors,
and compute and display their dot product and cross product, as well as the angle
between the two vectors. You should include separate functions for the dot product,
the cross product, and the length of a vector. The length function should make use of
the dot product function.
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