In Cartesian coordinates, a rank-2 tensor is given by Į = Tr£xx + Tvz£xz+ Tyy£yy and a Cartesian vector is Note that the scalar coefficients of the "missing" elements of I and n are all 0. Evaluate: a) ! " b) n! c) nn d) Įx e) !! Be sure to explicitly include base vectors and base dyads when appropriate.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 101E: Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that...
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In e) question my teacher has given an example how to do that. But it is not clear to me. Can you please help me in solving question from a) to e) with details explanation??

In Cartesian coordinates, a rank-2 tensor is given by
and a Cartesian vector is
n = n,2, + nygy
Note that the scalar coefficients of the "missing" elements of t and n are all 0.
Evaluate:
a) !1
b) n!
c) nn
e) !:!
Be sure to explicitly include base vectors and base dyads when appropriate.
ソッニソッ
.( Tux
+ Txz
e
e
+ Tx
e oe
e le
è le
bee
e
+ Znz Zx
Zxx Zyy
2.
Transcribed Image Text:In Cartesian coordinates, a rank-2 tensor is given by and a Cartesian vector is n = n,2, + nygy Note that the scalar coefficients of the "missing" elements of t and n are all 0. Evaluate: a) !1 b) n! c) nn e) !:! Be sure to explicitly include base vectors and base dyads when appropriate. ソッニソッ .( Tux + Txz e e + Tx e oe e le è le bee e + Znz Zx Zxx Zyy 2.
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