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MHT CET202411 May 2024Evening ShiftMathematicsVector AlgebraActual

The number of unit vectors perpendicular to a =(1,1,0) and b =(0,1,1) is

Options

  1. Aone.
  2. Btwo.
  3. Cthree.
  4. Dinfinite.

Correct answer

B. two.

Step-by-step solution

The vector perpendicular to a and b is a b = | array lll i & j & k 1 & 1 & 0 0 & 1 & 0 array |= i - j + k Since the length of this vector is 3 , the unit vector perpendicular to a and b is a b | a b | = 1 3 ( i - j + k ) Hence, there are two such vectors.

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