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TS EAMCET · Maths · Three Dimensional Geometry

A tetrahedron has vertices \(O(0,0,0), A(1,2,1)\), \(B(2,1,3), C(-1,1,2)\). If \(\theta\) is the angle between the faces \(O A B\) and \(A B C\), then \(\cos \theta=\)

  1. A \(\frac{1}{\sqrt{2}}\)
  2. B \(\frac{19}{35}\)
  3. C \(\frac{\sqrt{3}}{2}\)
  4. D \(\frac{17}{31}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{19}{35}\)

Step-by-step Solution

Detailed explanation

Equation of plane \(O A B\) is given by,…