Vector Algebra 31 , #ProblemWithSolution , Please Subscribe , Like & Share 🙏

#vectoralgebra 31 , #vector , #vectorproblemwithsolution , #sclar , 1. If 𝒂 ⃗ & 𝒃 ⃗ are such that |𝒂 ⃗ |=𝟑 & |𝒃 ⃗ |=√𝟐/𝟑, (𝒂 ) ⃗ × 𝒃 ⃗ is a unit vector , then prove that the angle between 𝒂 ⃗ & 𝒃 ⃗ is 𝝅/𝟒 , 2. Find the area of the rectangle having vertices 𝑨,𝑩,𝑪 & 𝑫 whose position vectors are −𝒊 ⃗+𝟏/𝟐 𝒋 ⃗+𝟒𝒌 ⃗, 𝒊 ⃗+𝟏/𝟐 𝒋 ⃗+𝟒𝒌 ⃗, 𝒊 ⃗−𝟏/𝟐 𝒋 ⃗+𝟒𝒌 ⃗, −𝒊 ⃗−𝟏/𝟐 𝒋 ⃗+𝟒𝒌 ⃗ 𝐫𝐞𝐬𝐩𝐞𝐜𝐭𝐢𝐯𝐞𝐥𝐲, 3.Given 𝒂 ⃗ ,𝒃 ⃗ & 𝒄 ⃗ are three vectors such that |𝒂 ⃗ |=𝟑 , |𝒃 ⃗ |=𝟒 &|𝒄 ⃗ |=𝟓 and each one of them perpendicular to the sum of other two, find |𝒂 ⃗+𝒃 ⃗+ 𝒄 ⃗ | , 4. Three vectors 𝒂 ⃗ ,𝒃 ⃗ & 𝒄 ⃗ satisfy the condition 𝒂 ⃗+𝒃 ⃗+ 𝒄 ⃗=𝟎, find the value of 𝝁=𝒂 ⃗. 𝒃 ⃗+𝒃 ⃗ .𝒄 ⃗+𝒄 ⃗. 𝒂 ⃗ , if |𝒂 ⃗ |=𝟑 , |𝒃 ⃗ |=𝟒 &|𝒄 ⃗ |=𝟐 , #highschoolmaths , #maths , #math , #basicmaths , #schoolmaths , #necrt_maths , #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