Vector Algebra Important Problems |3 marks| Class 12 | Unit Vectors, Dot Product & Orthogonality |
Автор: KAYAKA Maths Classes
Загружено: 2026-02-07
Просмотров: 66
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📌 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.
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