ORTHOGONAL Vectors | Orthonormal Basis - Concept & Properties of Inner Product | Liner Algebra

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This video lecture on ORTHOGONAL Vectors - Orthonormal Basis - Concept & Properties of Inner Product | Liner Algebra | Inner Product Space - Concept & Properties of Inner Product | Liner Algebra | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand the following topic of Mathematics:
1. What is ORTHOGONAL Vectors?
2. What is Orthonormal Basis?
3. Concept Of ORTHOGONAL Vectors.
4. Properties Of ORTHOGONAL Vectors, Linear Algebra.
5. This helpful For CSIR NET, IIT-JAM, GATE Exams.
#LinearAlgebra #OrthogonalVectors #OrthonormalBasis #EngineeringMahemaics #BSCMaths #GATE #IITJAM #CSIRNET
This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech & M.Sc./M.Tech. students also preparing for NET, GATE, and IIT-JAM Aspirants.
Find Online Solutions Of ORTHOGONAL Vectors | Orthonormal Basis - Concept & Properties of Inner Product | Liner Algebra | Inner Product Space - Concept & Properties of Inner Product | Liner Algebra | Problems & Concepts | Concepts and Example | Concepts and Example By GP Sir (Gajendra Purohit)
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Time Stamp
0:00 - An introduction
0:53 - Orthogonal Vector
1:13 - Example1.
2:03 - Example2.
2:51 - Improtant note on Orthogonal Vector
3:24 - Orthogonal Set
3:55 - Example3.
4:50 - Orthonormal Set
5:37 - Example4.
6:28 - Example5.
7:30 - Orthonormal Basis
8:07 - Example6.
8:21 - Example7.
8:47 - Complete Orthonormal Set
9:13 - Example8.
9:55 - Q1. (answer asked in Comment box)
10:17 - Conclusion of video
10:26 - Detailed about old videos

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Dr.Gajendra Purohit

[_anuj_gupta]

Yes sir option (A)is the correct✅ answer I got solution within 12 seconds.. The addition of their alternate product is 0, so they are orthogonal vectors.
Thanks 🙏a lot to GP sir 🙇

[rameshmondal]

(A) Orthogonal
Thank you so much sir.🙏🙏🙏

[akashkumarsingh]

Your way of teaching is just awesome and contents are crystal clear

[chiraggupta]

vector u and v are orthogonal vectors but their respective length/norms are root 6 and root 11 which is not unit so they are not orthonormal basis or unit vector.

[shyam]

Your channel is brilliant channel for me. Please continue.

[qaiserbozdar]

Greetings From Indus Valley.
The topic inner product worth very high for Digital Signal Processing (Electronic sciences). Kindly upload a lecture on Signal Spaces, Hilbert Spaces, Completeness Theorem, Subspace based approximation and polynomial approximation and solve related problems.
Thank You

[praveenkumarpandey]

Jai Hind sir Love from UP
U are best Teacher 🙏🙏🙏

[lakshyagupta]

since norm of u and norm of v both are not equal to 1 thus it is not a orthonormal vector..
<u, v>=1+2-3=0
therefore they are orthogonal..
A) Orthogonal

[ExacTGyaN.]

inner product of u, v=0
So this is Orthogonal set.
Thank you so much sir
Love you sir❤️❤️

[irar]

Really really really helpful thank you so much you are doing great work

[aniketeuler]

Very clear cut and satisfying explanation sir you made this concept really easy to understand sir 😃👍👍

[soumiksen]

option a) orthogonal vector . took me 5 secs. Thanks for the awesome explanation.

[amritathakur]

Homr work of question 🙋ans is (A) orthogonal.because it is not have unit vector so it's not orthonormal. Hence it is orthogonal property satisfied <u, v>=0

[gouravjangra]

Thanks sir. Ye topic toh samajh Aa gya 🙏🙏

[Jerinabrahamgeorge]

Sir, please upload one video on linear transformations and corresponding problems.

[ATULKANOUJIYAcs]

it is an orthogonal vector (A) thanku sir
👏👏

[muhammadzubairyounas]

orthogonal vector-5seconds consumed only-i am very thankful to you

[indujahalder]

Answer is option A..u and v are orthogonal vectors..Thank you so much sir 😊😊

[learnwithlifeskillsacademy]

Sir bahut help ho gya mera avi yahi topic chla rha h Mera PG m
Thnx sir 🙏 🙏🙏

[dhananjaysahani]

Thanks a lot sir for such a wonderful video