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  1. $$\\left( \\sum_{k=1}^n a_k b_k \\right)^2 \\leq \\left( \\sum_{k=1}^n a_k^2 \\right) \\left( \\sum_{k=1}^n b_k^2 \\right)$$
  3. $$\\mathbf{V}_1 \\times \\mathbf{V}_2 =  \\begin{vmatrix}
  4. \\mathbf{i} & \\mathbf{j} & \\mathbf{k} \\\\
  5. \\frac{\\partial X}{\\partial u} &  \\frac{\\partial Y}{\\partial u} & 0 \\\\
  6. \\frac{\\partial X}{\\partial v} &  \\frac{\\partial Y}{\\partial v} & 0
  7. \\end{vmatrix}$$
  9. $P(E)   = {n \\choose k} p^k (1-p)^{ n-k}$
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