Find the representation of (9, -2, -3) in each of the following ordered bases. Your answers should be vectors of the general form <1,2,3>. a. Represent the vector (9, -2, -3) in terms of the ordered basis B = {i,j,k}. [(9,-2,-3)]B= b. Represent the vector (9, -2, -3) in terms of the ordered basis C = {3, e1, e2}. [(9,-2,-3)] c = c. Represent the vector (9, -2, -3) in terms of the ordered basis D= {-2, -1, e3}. [(9,-2,-3)]D =
Find the representation of (9, -2, -3) in each of the following ordered bases. Your answers should be vectors of the general form <1,2,3>. a. Represent the vector (9, -2, -3) in terms of the ordered basis B = {i,j,k}. [(9,-2,-3)]B= b. Represent the vector (9, -2, -3) in terms of the ordered basis C = {3, e1, e2}. [(9,-2,-3)] c = c. Represent the vector (9, -2, -3) in terms of the ordered basis D= {-2, -1, e3}. [(9,-2,-3)]D =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Find the representation of (9, -2, -3) in each of the following ordered bases. Your
answers should be vectors of the general form <1,2,3>.
a. Represent the vector (9, -2, -3) in terms of the ordered basis B = {i,j,k}.
[(9,-2,-3)]B=
b. Represent the vector (9, -2, -3) in terms of the ordered basis C = {3, e1, e2}.
[(9,-2,-3)] c =
c. Represent the vector (9, -2, -3) in terms of the ordered basis
D= {-2, -1, e3}.
[(9,-2,-3)]D
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58aa71d3-0b09-4db9-8beb-ffcdb8ec454c%2Fc6610249-2609-4fc9-8f5f-ab968e474b74%2Fvugzvfs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the representation of (9, -2, -3) in each of the following ordered bases. Your
answers should be vectors of the general form <1,2,3>.
a. Represent the vector (9, -2, -3) in terms of the ordered basis B = {i,j,k}.
[(9,-2,-3)]B=
b. Represent the vector (9, -2, -3) in terms of the ordered basis C = {3, e1, e2}.
[(9,-2,-3)] c =
c. Represent the vector (9, -2, -3) in terms of the ordered basis
D= {-2, -1, e3}.
[(9,-2,-3)]D
=
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