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BITSAT2014MathematicsVector AlgebraActual

The angle between any two diagonal of a cube is

Options

  1. A45^
  2. B60^
  3. C30^
  4. D⁻¹(2 2 )

Correct answer

D. ⁻¹(2 2 )

Step-by-step solution

for a unit cube unit vector along the diagonal OP = 1 3 ( i + j + k ) unit vector along the diagonal CD = 1 3 ( i + j - k ) = 1 3 (1+1-1)= 1 3 =2 2

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