A tetrahedron has vertices P(1, 2, 1), Q(2, 1, 3), R(-1, 1, 2) and O(0, 0, 0). The angle…
Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry
A tetrahedron has vertices P(1, 2, 1), Q(2, 1, 3), R(-1, 1, 2) and O(0, 0, 0). The angle between the faces OPQ and PQR is:
- \(\cos ^{-1}\left(\frac{17}{31}\right)\)
- \(\cos ^{-1}\left(\frac{9}{35}\right)\)
- \(\cos ^{-1}\left(\frac{19}{35}\right)\)
- \(\cos ^{-1}\left(\frac{7}{31}\right)\)
Answer
(C) ^ -1 ( 19 35 )
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The distance of the point, (–1, –5, –10) from the point of intersection of the line, x-2 3 = y+1 4 = z-2 12…
- For non-zero vectors a , b , c ,|( a b ) c |=| a || b || c | holds if and only if
- If, D, E, F are mid points of sides BC, CA and AB respectively of a triangle ABC, and i + j , j + k , k + i…
- If θ be the angle between vectors i +2 j +3 k and 3 i +2 j + k , then the value of sin θ is
- The vector equation of the plane passing through the origin and the line of intersection of the plane r a =…
- The value of k, if the line x-4 1 = y-z 1 = z-k 1 lies on the plane 2 x-4 y+z=7 , will be
- If a =2 i +5 j and b =2 i - j , then unit vector in the direction of a + b is
- The projections of a vector on the three coordinate axes are 6,-3,2 respectively. The direction cosines of…
More Three Dimensional Geometry questions · Browse all practice questions