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AP EAMCET202125 Aug 2021Evening ShiftMathematicsVector AlgebraActual

Let u and v be two non-zero vectors in R^3 . Then |u v|^2+|u v|^2 is equal to

Options

  1. A|u|^2+|v|^2
  2. B2|u||v|
  3. C|u|^2|v|^2
  4. D(|u|+|v|)^2

Correct answer

C. |u|^2|v|^2

Step-by-step solution

Given u and v are non zero vectors in I R^3 . aligned & To Find |u v|^2+|u v|^2 & array l |u|^2|v|^2 ^2 +|u|^2|v|^2 ^2 =|u|^2|v|^2 ( ^2 + ^2 ) u v=|u||v| u v=|u||v| array aligned =|u|^2|v|^2

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