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COMEDK2016MathematicsVector Algebra

If a is 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 b and c . Thus, a is perpendicular to the plane of b and c . Now, cross product of b and c will give a vector perpendicular to plane of b and c . This vector will be parallel to a. Now, cross product of two parallel is zero vector. Thus, a ( b c )=0

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