Mathematics · essential
Properties of dot product for JEE
Scalar and vector products
Formula
\(\vec{a}\cdot\vec{b}=\vec{b}\cdot\vec{a},\quad \vec{a}\cdot(\vec{b}+\vec{c})=\vec{a}\cdot\vec{b}+\vec{a}\cdot\vec{c},\quad (\lambda\vec{a})\cdot\vec{b}=\lambda(\vec{a}\cdot\vec{b})\)
Variables: \(\lambda\) is a scalar; \(\vec{a},\vec{b},\vec{c}\) are vectors.
Algebraic manipulation of scalar products.