Mathematics · essential
Dot products of unit vectors for JEE
Scalar and vector products
Formula
\(\hat{i}\cdot\hat{i}=\hat{j}\cdot\hat{j}=\hat{k}\cdot\hat{k}=1,\quad \hat{i}\cdot\hat{j}=\hat{j}\cdot\hat{k}=\hat{k}\cdot\hat{i}=0\)
Conditions: For mutually perpendicular standard unit vectors.
Expanding dot products in component form.