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Miscellaneous·2019·Easy

Consider the following equations for two vectors a and b : 1. ( a + b ) · ( a − b ) = | a |² − | b |² 2. [( a + b )] [( a − b )] = | a |² − | b |² 3. | a · b |² + | a × b |² = | a |² | b |² Which of the above statements are correct?

Consider the following equations for two vectors a and b:

1. (a + b) · (a − b) = |a|² − |b|²

2. [(a + b)] [(a − b)] = |a|² − |b|²

3. |a·b|² + |a×b|² = |a|² |b|²

Which of the above statements are correct?

Options

  1. a.

    1, 2 and 3

    Correct answer
  2. b.

    1 and 2 only

  3. c.

    1 and 3 only

  4. d.

    2 and 3 only

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