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JEE Main Mathematics

Vector Algebra

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A timed sectional mock on this unit

Vectors and their components in two and three dimensions, adding vectors, and the scalar and vector products.

Key formula
a⃗⋅b⃗=∣a⃗∣ ∣b⃗∣cos⁡θ,∣a⃗×b⃗∣=∣a⃗∣ ∣b⃗∣sin⁡θ\vec{a} \cdot \vec{b} = |\vec{a}|\,|\vec{b}|\cos\theta, \quad |\vec{a} \times \vec{b}| = |\vec{a}|\,|\vec{b}|\sin\theta

What this unit covers

  • Vectors and scalars, the addition of vectors

  • Components of a vector in two dimensions and three-dimensional space

  • Scalar and vector products