Dot product (Scalar Product ) of two vectors| CBSE 12 Maths NCERT 10.3 intro

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[@dont_touch_my_cupcake2938]

Its been 3 years since you uploaded this sir and it is so helpful!! Especially now , during online classes , I didn't understand anything what my sir taught. But this video helped me so much !!! Thanks alot sir

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[@dont_touch_my_cupcake2938]

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[@dont_touch_my_cupcake2938]

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[@krindaghodasara4128]

Not associative because the dot product between a scalar (a ⋅ b) and a vector (c) is not defined, which means that the expressions involved in the associative property, (a ⋅ b) ⋅ c or a ⋅ (b ⋅ c) are both ill-defined.

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Ya

[@dhrubasinha7169]

yes

[@gupta873]

Me

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Me

[@thamso5740]

12:05 Yes sir vector ki dot product associative hoti hai! lets prove it guyzz For associative (a->•b->)c->= a->(b->•c->) hona chahiye jesa apne padhya tha first lecture me Tho abb mera questions app sab se hai a->= i+j+k b->= 2i+2j+2k c->= 3i+3j+3k Cap aap khud laga lena 😂^^^ Prove karo isko aur khud ko reward dho meri traf se ek parle melody

[@simranbhatti6432]

no dot product is not associative because when we do dot product of two vectors we get scaler quantity into vector quantity is not a dot product..................................... that s why i think it is not associative

[@aadyasrivastava371]

You are right

[@RahulYadav-eq1ip]

Yes you are absolutely right

[@shrishti2857]

Absolutely correct 👍

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Ya

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^a=

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[@hacker23345]

Sir I never see the videos of exercice because you teach theory very well so exercise can solve without help . You teaching well sir

[@abhisheksinghrajput7924]

Dot product is not associative because the dot product between the scalar (a.b) snd vector is not defined thank you sir for asking question 🙏🙏🙏🙏🙏

[@abhishek-dy2td]

@vishal Agnihotri we did multiply in last exercise not dot product and there is no angle between a scalar and a vector so how will u get cos theta ,thats y its not defined

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11:00 directly take 6 and 3 inside a single root

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[@vijayagrawal396]

No. The result of a dot product between vectors a and b is a.b and is a scalar. For vectors a,b and c, (a.b).c is is not possible, since a.b is a scalar, say, k, and the dot product between k and vector c is meaningless. Similarly, a.(b.c) is not possible, since b.c gives scalar k and a.k is also meaningless.

[@khushijha624]

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[@killersaurabh1412]

Not associated vector

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[@iitinvishalpatidar8337]

In mathematical terms, the dot product is the scalar result of the combination of two coordinate vectors. ... The dot product is commutative ( ) and distributive ( ), but not associative because, by definition, is actually a scalar dotted with c, which has no definition.

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No sir Dot product doesn't obey associative law

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it does obey as... in the very next step sir just gave the solution !!!!!

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Sir please provide the link of video to discussed at 02:20🙏🙏🙏

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[@MrEagle-xv1zw]

Sir dot product is not associative...am I correct???

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[@aparnabts5997]

One more thing Angle between two vectors is always 0 ≤ Q ≤180

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[@Akash-he8vl]

For students' kind info. Cauchy Schwartz inequality and Triangle inequality is not in syllabus (2021)

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you sure??

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Nice

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[@palaksingh4954]

Dot product is not associative because the result will have direction and hence not a scalar quantity, not a dot product.

[@i_m.ashish]

yes ,Dot product is associative with respect to scalar!!!!

[@i_m.ashish]

if a and b are any two non-zero vectors and n is a scalar, then a.(nb)=(na).b=n(a.b)

[@ayushmishrarn-1883]

Thanku thanku thankuu so much sir ............

[@sahithikistampalli2181]

Not associative because the dot product between a scalar (a ⋅ b) and a vector (c) is not defined, which means that the expressions involved in the associative property, (a ⋅ b) ⋅ c or a ⋅ (b ⋅ c) are both ill-defined. 😇

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10:44 arre sir... √6 ko √3 x √2 likh dete.. itna karne ka kya zarwat tha

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I also think the same

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[@anuragindeutschland]

No dot product is not associative bcz multipication of (a.b).c is not possible ,let a.b=k then the multipication of k.c is meaningless acoording to defination

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The only teacher who know concepts

[@rajkumarroy389]

Yes sir... Dot product is not associative because vec(a){vec(b)+vec(c)} is not ={vec(a)+vec(b)}+vec(c).

[@ArshdeepSingh-gh7ep]

12:23 yes it is associative

[@subodh4997]

bcz result is scalar of two vectors then multiplying scalar with another vector so it is associative

[@Dr.AR0001]

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Osm sir

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Am watching this video in 2019. Is cauchy and triangle inequality are in syllabus help please

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No dot product is not associative because (a.b).c Or a. (b.c) is not possible where c is another vector And thank you so much sir 😍

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One of the best

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Collinear hai last wala question?

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Sir aap National Defence Academy ke maths paper ke related videos bhi bana kar dala kariye... 🙏🙏🙏💯💯

[@lakshaybhardwaj3502]

Sir, dot product do not follow associative property then see 19:00 what u write should be wrong....... Plz reply and clear my doubt.

[@parasthakur1300]

lakshay bhai sir ne khali Commutative ,Distributive & Scalar properties likhi hai . Associative khud batani thi jo ki follow nahi karti Dot Product ko theek hai bhai ...

[@prabhashankarsharma5712]

Sir triangle inequality ko prove karna to bada baval h!!🤔🤔🤫🤯😥

[@techster4862]

Projection of vecotr a along b.....in this que.....shouldnt the unit vecotr of b should be taken?

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-0:15. 👍👍👍

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sir please please upload probability

[@neetusingh6658]

No dot product is not associative since a. b is scalar and dot product bw scalar and vector c is meaningless similarly this is applied for a. (b. c)

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Sir when you r uploading videos please name the videos as part 1 ,2 etc so that we can search easily please

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[@upendrasahoo7308]

Sir ek question tha jaise 2d mein line ko represent karte hain two points ko leke vector mein kese draw kare 3d mein man lo line 2i^+3j^+1k^

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[@tractorlover6011]

Exercise 10. 2 ques after 12 missing???