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JEE Advanced2007MathematicsVector AlgebraActual

Let a , b , c be unit vectors such that a + b + c = 0 . Which one of the following is correct?

Options

  1. Aa b = b c = c a = 0
  2. Ba b = b c = c a 0
  3. Ca b = b c = a c = 0
  4. Da b , b c , c a are mutually perpendicular

Correct answer

B. a b = b c = c a 0

Step-by-step solution

Since a , b , c are unit vectors and a + b + c = 0 a , b and c represent an equilateral triangle. a b = b c = c a 0 .

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