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.

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