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 =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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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
=
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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