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Angle between diagonals of a parallelogram whose sides are represented by and
MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra
Problem Angle between diagonals of a parallelogram whose sides are represented by a = 2 i ^ + j ^ + k ^ a = 2\hat{i} + \hat{j} + \hat{k} a = 2 i ^ + j ^ + k ^ and b = i ^ − j ^ − k ^ b = \hat{i} - \hat{j} - \hat{k} b = i ^ − j ^ − k ^
(1) cos − 1 ( 1 3 ) \cos^{-1}\left(\frac{1}{3}\right) cos − 1 ( 3 1 )
(2) cos − 1 ( 1 2 ) \cos^{-1}\left(\frac{1}{2}\right) cos − 1 ( 2 1 )
(3) cos − 1 ( 4 9 ) \cos^{-1}\left(\frac{4}{9}\right) cos − 1 ( 9 4 )
(4) cos − 1 ( 5 9 ) \cos^{-1}\left(\frac{5}{9}\right) cos − 1 ( 9 5 )
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