You are given the following vectors in terms of their components in the i, j, k basis: A=11+2j+-1k B = 11+2j+2k C=11+0j+1k D=21+13+2k Evaluate the following: a b 3 a¡ c₁¹ 0 b₁c₁=3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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You are given the following vectors in terms of their components in the i, j, k basis:
A = 11 +2j+-1k
B = 1i+2j+2k
C=11+0j +1k
D = 2i+1j+2k
Evaluate the following:
aj bi = 3
aj ci=0
bic;= 3
6ji =
a2 + b; 63; =
(b; dj dj bj) Sij= 0
aj dk Bij Ojk =
ak bi cj dk Bij =
aj bj ck di (Sijk - 8ik 6jl) =
aj b; Eij2 =
Eijk &ijk =
aj bj ck Bijk =
aj bj ck Eijl 83kl
aj ck Bij1 jk
Eijl Ekml Eijm ak =
=
X
Transcribed Image Text:You are given the following vectors in terms of their components in the i, j, k basis: A = 11 +2j+-1k B = 1i+2j+2k C=11+0j +1k D = 2i+1j+2k Evaluate the following: aj bi = 3 aj ci=0 bic;= 3 6ji = a2 + b; 63; = (b; dj dj bj) Sij= 0 aj dk Bij Ojk = ak bi cj dk Bij = aj bj ck di (Sijk - 8ik 6jl) = aj b; Eij2 = Eijk &ijk = aj bj ck Bijk = aj bj ck Eijl 83kl aj ck Bij1 jk Eijl Ekml Eijm ak = = X
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