Select the true statements about Inner Product, Orthogonal and Orthonormal vectors and Sets (2 3 4 (1,2,1), (1,-1,1) are orthonormal vectors in R³ The dot product is the only possible inner product in Rn (1,2) (2,-2) = -2 . The projection of a vector on to another vector is zero if they are othogonal, that is proj2v1=0 if (v1,v2)=0 It is possible to construct an inner product in

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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2. Please help provide the correct answer choices for the following linear algebra question:
Select the true statements about Inner Product, Orthogonal
and Orthonormal vectors and Sets
2
3
4
5
(1,2,1), (1,-1,1) are orthonormal vectors in R³
The dot product is the only possible inner
product in Rn
(1,2) (2,-2)=-2
The projection of a vector on to another
vector is zero if they are othogonal, that
is proj2v1=0 if (v1,v2)=0
It is possible to construct an inner product in
the continuous function space using a definite
integral
Transcribed Image Text:Select the true statements about Inner Product, Orthogonal and Orthonormal vectors and Sets 2 3 4 5 (1,2,1), (1,-1,1) are orthonormal vectors in R³ The dot product is the only possible inner product in Rn (1,2) (2,-2)=-2 The projection of a vector on to another vector is zero if they are othogonal, that is proj2v1=0 if (v1,v2)=0 It is possible to construct an inner product in the continuous function space using a definite integral
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