Vector Algebra 24 , #ProblemWithSolution , Please Subscribe , Like & Share 🙏

#vectoralgebra 24 , #vector , #vectorproblemwithsolution , #sclar , 1. I𝐟 𝒂 ⃗=𝟐𝒊 ⃗+𝟐𝒋 ⃗+𝟑𝒌 ⃗ , 𝒃 ⃗=−𝒊 ⃗+𝟐𝒋 ⃗+𝒌 ⃗ ,𝒄 ⃗=𝟑𝒊 ⃗+𝒋 ⃗ are such that 𝒂 ⃗+𝝀𝒃 ⃗ is perpendicular to 𝒄 ⃗, then find the value of 𝝀. 2. I𝐟 𝒂 ⃗ , 𝒃 ⃗ are unit vectors and 𝜽 is the angle between them , show that (i) 𝒔𝒊𝒏 𝜽/𝟐=𝟏/𝟐 |𝒂 ⃗ −𝒃 ⃗ |, (ii) 𝒄𝒐𝒔 𝜽/𝟐=𝟏/𝟐 |𝒂 ⃗+𝒃 ⃗ | , (iii) 𝒕𝒂𝒏 𝜽/𝟐=|𝒂 ⃗ −𝒃 ⃗ |/|𝒂 ⃗+𝒃 ⃗ | . 3. Find the projection of the vector 𝒊 ⃗+𝟑𝒋 ⃗+𝟕𝒌 ⃗ on the vector 𝟕𝒊 ⃗−𝒋 ⃗+𝟖𝒌 ⃗ 4. Find 𝝀, when the projection of 𝒂 ⃗=𝝀𝒊 ⃗+𝒋 ⃗+𝟒𝒌 ⃗ on 𝒃 ⃗=𝟐𝒊 ⃗+𝟔𝒋 ⃗+𝟑𝒌 ⃗ is 4 units. #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