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Manipal MET2017MathematicsVector Algebra

If a , b , c are any three mutually perpendicular vectors of equal magnitude a , then | a + b + c |

Options

  1. Aa
  2. B2 a
  3. C3 a
  4. D2 a

Correct answer

C. 3 a

Step-by-step solution

aligned | a + b + c |^2= & | a |^2+| b |^2+| c |^2 +2( a b + b c + c a ) = & a^2+a^2+a^2 aligned ( a , b and c are mutually perpendicular) | a + b + c |= 3 a

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