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AP EAMCET201921 Apr 2019Evening ShiftMathematicsVector AlgebraActual

If a ¯ , b ¯ , c ¯ are non-zero non-collinear vectors and a ¯ × b ¯ = b ¯ × c ¯ = c ¯ × a ¯ , then a ¯ + b ¯ + c ¯ =

Options

  1. A3 a ¯
  2. B0 ¯
  3. C3 ( a ¯ × b ¯ )
  4. D3 ( b ¯ × c ¯ )

Correct answer

B. 0 ¯

Step-by-step solution

Consider a → + b → + c → = k → . Taking cross product of the above equation with a → , a → × a → + b → + c → = a → × k → ⇒ a → × a → + a → × b → + a → × c → = a → × k → ⇒ a → × b → - c → × a → = a → × k → ⇒ a → × b → - a → × b → = a → × k → ⇒ 0 = a &

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