Vector Algebra 32 , #ProblemWithSolution , Please Subscribe , Like & Share 🙏

#vectoralgebra 32 , #vector , #vectorproblemwithsolution , #sclar , 1. 𝒂 ⃗ ,𝒃 ⃗ & 𝒄 ⃗ are the position vectors of three vertices 𝑨,𝑩 & 𝑪 of a triangle 𝑨𝑩𝑪, show that the area of the triangle 𝑨𝑩𝑪 is 𝟏/𝟐 |𝒂 ⃗ ×𝒃 ⃗+𝒃 ⃗×𝒄 ⃗+𝒄 ⃗× 𝒂 ⃗ |. Also deduce the condition for collinearity of the points 𝑨,𝑩 & 𝑪. , 2. For any vector 𝒂 ⃗, |𝒂 ⃗ ×𝒊 ⃗ |^𝟐+|𝒂 ⃗ ×𝒋 ⃗ |^𝟐+|𝒂 ⃗ ×𝒌 ⃗ |^𝟐=𝟐|𝒂 ⃗ |^𝟐, 3.Given 𝒂 ⃗ ,𝒃 ⃗ & 𝒄 ⃗ are unit vectors such that 𝒂 ⃗ .𝒃 ⃗ =𝒂 ⃗ .𝒄 ⃗=𝟎 and the angle between 𝒃 ⃗ & 𝒄 ⃗ is 𝝅/𝟑 prove that 𝒂 ⃗ =𝟐/√𝟑 (𝒃 ⃗ × 𝒂 ⃗ ) , #10thmaths ,#highschoolmaths , #maths , #math , #basicmaths , #schoolmaths , #necrt_maths , #precalculus , #mathsolympiad , #internationalmathematicalolympiad , #icse_maths , #imo , #iom , #stateboardmaths , #centralboardmaths , #nationalboardmaths , #internationalboardmaths , #cbsemaths , #ciscemaths , #nios , #ibose , #caie , #ibmaths , #aissce , #mathleague , #mathcounts, #mathematicalkangaroo , #purplecometmathmeet , #americanregionsmathematicsleague , #noeticlearningmathcontest , #continentalmathematicsleague , #10thmaths , #9thmaths , #11thmaths , #12thmaths , #+1maths , #+2maths, #iit , #jee , #jeemain , #competitiveexams , #class9mathematics , #class10mathematics , #class11mathematics , #class12mathematics , #internationalbaccalaureatemaths , #internationalbaccalaureatemathematics , for higher level maths, higher level engineering mathematics , higher level application of mathematics , college under / post graduate level mathematics , please refer the channel https://www.youtube.com/channel/uceor... , channel name : simple code is maths . please subscribe, like & share 🙏 please share this video to your friends & need