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Manipal MET2013MathematicsVector Algebra

If a b = c , b c = a and a, b, c be the moduli of the vectors a , b , c respectively, then

Options

  1. Aa=1, b=1
  2. Bc=1, a=1
  3. Ca (b c)=1
  4. Db=1, c=a

Correct answer

D. b=1, c=a

Step-by-step solution

Since, a b = c aligned & ( b c ) b = c & ( b b ) c -( b c ) b = c & ( b b )=1, c b =0 & b^2=1, i.e., b=1 aligned b is a unit vector | c |=| a | c=a .

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