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KCET2013MathematicsVector Algebra

If a is a vector perpendicular to both b and c , then

Options

  1. Aa ( b c )=0
  2. Ba (b c)=0
  3. Ca (b+c)=0
  4. Da+(b+c)=0

Correct answer

B. a (b c)=0

Step-by-step solution

Given, a is perpendicular to both b and c. Then, a b=0 and a c=0...(i) Now, we have a (b c)=(a c) b-(a b) c=(0) b-(0) c [from Eq. (i)] =0-0=0

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