Vector Algebra Important Problems |3 marks| Class 12 | Unit Vectors, Dot Product & Orthogonality | скачать в хорошем качестве

Vector Algebra Important Problems |3 marks| Class 12 | Unit Vectors, Dot Product & Orthogonality |

📌 Video Description In this video, we solve important numerical problems from Vector Algebra which are very useful for Class 12, PU Board, JEE & NEET preparation. These problems focus on unit vectors, dot product, vector magnitude and perpendicular (orthogonal) vectors, explained in a simple step-by-step method. 🔹 Problems Covered in This Video: 1️⃣ . If 𝒂 ⃗,𝒃 ⃗,𝒄 ⃗ are unit vectors such that 𝒂 ⃗+𝒃 ⃗+𝒄 ⃗=𝟎 find the value of 𝒂 ⃗ . 𝒃 ⃗+𝒃 ⃗ .𝒄 ⃗+𝒄 ⃗ .𝒂 ⃗. 2️⃣. If 𝒂 ⃗,𝒃 ⃗,𝒄 ⃗ are three vectors such that |𝒂 ⃗ |=𝟑,|𝒃 ⃗ |=𝟒,|𝒄 ⃗ |=𝟓, each one of being orthogonal to sum of other two vectors, find |𝒂 ⃗+𝒃 ⃗+𝒄 ⃗ | 3️⃣. If 𝒂 ⃗=𝟐𝒊+𝟐𝒋+𝟑𝒌,𝒃 ⃗=−𝒊+𝟐𝒋+𝒌 & 𝒄 ⃗=𝟑𝒊+𝒋 such that 𝒂 ⃗+𝝀 𝒃 ⃗ is perpendicular to 𝒄 ⃗, find 𝝀. 4️⃣. Find unit vector perpendicular to 𝒂 ⃗+𝒃 ⃗ & 𝒂 ⃗−𝒃 ⃗ where 𝒂 ⃗=𝟑𝒊+𝟐𝒋+𝟐𝒌, 𝒃 ⃗=𝒊+𝟐𝒋−𝟐𝒌 ✅ Why Watch This Video? ✔ Step-by-step easy method ✔ Board exam oriented solutions ✔ Important 5 marks problems ✔ Best for Class 12 | PU 2nd Year | JEE | NEET 🔔 Subscribe to plus 2 Maths for easy explanations, shortcuts & important exam questions. 📌 Hashtags (Copy & Paste) #VectorAlgebra #Class12Maths #Vectors #UnitVector #DotProduct #OrthogonalVectors #PUBoard #JEE #NEET #Plus2Maths #importantquestions2026 #3MarksMaths #Drvishalpatil #parpendicularvectors