Use the vectors N = 3x - 2y + 12 and M = -1x + 3y + 12 to answer the following questions: A. What is the dot product of the vectors N. M? B. What is the cross product of the vectors N X M? C. What is the angle between the vectors N and M? D. If P = 4xy + 22, compute P. (N x M).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
Use the vectors **N** = 3**x̂** - 2**ŷ** + 1**ẑ** and **M** = -1**x̂** + 3**ŷ** + 1**ẑ** to answer the following questions:

A. What is the dot product of the vectors **N** · **M**?

B. What is the cross product of the vectors **N** × **M**?

C. What is the angle between the vectors **N** and **M**?

D. If **P** = 4**x̂** - **ŷ** + 2**ẑ**, compute **P** · (**N** × **M**).
Transcribed Image Text:Use the vectors **N** = 3**x̂** - 2**ŷ** + 1**ẑ** and **M** = -1**x̂** + 3**ŷ** + 1**ẑ** to answer the following questions: A. What is the dot product of the vectors **N** · **M**? B. What is the cross product of the vectors **N** × **M**? C. What is the angle between the vectors **N** and **M**? D. If **P** = 4**x̂** - **ŷ** + 2**ẑ**, compute **P** · (**N** × **M**).
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning