Find the representation of (-2, 9,8) in each of the following ordered bases. Your answers should be vectors of the general form <1,2,3>. a. Represent the vector (-2,9, 8) in terms of the ordered basis B = {i, j,k}. %3D [(-2,9, 8)]в %3D b. Represent the vector (-2,9, 8) in terms of the ordered basis C = {ē3, ē], ē2}. [(-2,9, 8)]c = c. Represent the vector (-2,9, 8) in terms of the ordered basis D = {-ē2,-ē1,ë3}. [(-2,9, 8)]p
Find the representation of (-2, 9,8) in each of the following ordered bases. Your answers should be vectors of the general form <1,2,3>. a. Represent the vector (-2,9, 8) in terms of the ordered basis B = {i, j,k}. %3D [(-2,9, 8)]в %3D b. Represent the vector (-2,9, 8) in terms of the ordered basis C = {ē3, ē], ē2}. [(-2,9, 8)]c = c. Represent the vector (-2,9, 8) in terms of the ordered basis D = {-ē2,-ē1,ë3}. [(-2,9, 8)]p
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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Find the representation of ⟨−2,9,8⟩ in each of the following ordered bases
![Find the representation of (-2,9, 8) in each of the following ordered bases. Your answers should be vectors of the general form <1,2,3>.
a. Represent the vector (-2,9, 8) in terms of the ordered basis B = {i,j, k}.
(-2,9, 8}]в
b. Represent the vector (-2,9, 8) in terms of the ordered basis C =
{e3, ē1, ë2}.
[(-2,9, 8)]c =
c. Represent the vector (-2,9, 8) in terms of the ordered basis D = {-é2,-ë1,e3}.
[(-2,9, 8)]p =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F456fc56d-6522-4d21-af4e-8101a918b824%2F48ad34e5-e812-4124-b8ef-0f2d708010ef%2Fua7rrv_processed.png&w=3840&q=75)
Transcribed Image Text:Find the representation of (-2,9, 8) in each of the following ordered bases. Your answers should be vectors of the general form <1,2,3>.
a. Represent the vector (-2,9, 8) in terms of the ordered basis B = {i,j, k}.
(-2,9, 8}]в
b. Represent the vector (-2,9, 8) in terms of the ordered basis C =
{e3, ē1, ë2}.
[(-2,9, 8)]c =
c. Represent the vector (-2,9, 8) in terms of the ordered basis D = {-é2,-ë1,e3}.
[(-2,9, 8)]p =
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