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).
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...
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
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**).
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