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JEE Advanced (IIT-JEE)

Vectors

No official chapter weightage

Vector addition and scalar multiplication, dot and cross products, and scalar and vector triple products with their geometrical meaning.

[a⃗ b⃗ c⃗]=a⃗⋅(b⃗×c⃗),a⃗×(b⃗×c⃗)=(a⃗⋅c⃗) b⃗−(a⃗⋅b⃗) c⃗[\vec{a}\ \vec{b}\ \vec{c}] = \vec{a} \cdot (\vec{b} \times \vec{c}), \quad \vec{a} \times (\vec{b} \times \vec{c}) = (\vec{a} \cdot \vec{c})\,\vec{b} - (\vec{a} \cdot \vec{b})\,\vec{c}

What this unit covers

  • Addition of vectors and scalar multiplication

  • Dot and cross products and their geometrical interpretations

  • Scalar triple product: volume of a parallelepiped, coplanarity

  • Vector triple product

Other units in JEE Advanced (IIT-JEE)