Vector algebra Topics - IIT JEE Syllabus

1

2m1/10

📌 Key FormulaVector has magnitude and direction, scalar has only magnitude.

2

2m1/10

📌 Key FormulaTriangle law, parallelogram law, a + b = b + a, (a + b) + c = a + (b + c)

3

2m2/10

📌 Key Formulaa = aᵢ i + aⱼ j, magnitude = √(aᵢ² + aⱼ²)

4

2m2/10

📌 Key Formulaa = aᵢ i + aⱼ j + aₖ k, magnitude = √(aᵢ² + aⱼ² + aₖ²)

5

2m3/10

📌 Key FormulaDot product: a·b = |a||b|cos θ, Cross product: |a×b| = |a||b|sin θ, direction by right-hand rule.

6

2m5/10

📌 Key FormulaScalar triple product: [a b c] = a·(b×c), Vector triple product: a×(b×c) = (a·c)b - (a·b)c