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Which of the following ordered triples can represent the direction cosines of a vector?
MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry
Problem Which of the following ordered triples can represent the direction cosines of a vector?
(a) ( 1 2 , 1 2 , 1 2 ) (\tfrac{1}{2},\,\tfrac{1}{2},\,\tfrac{1}{2}) ( 2 1 , 2 1 , 2 1 )
(b) ( 0.8 , 0.6 , 0.1 ) (0.8,\,0.6,\,0.1) ( 0.8 , 0.6 , 0.1 )
(c) ( 3 5 , 4 5 , 0 ) (\tfrac{3}{5},\,\tfrac{4}{5},\,0) ( 5 3 , 5 4 , 0 )
(d) ( 0.2 , 0.3 , 0.5 ) (0.2,\,0.3,\,0.5) ( 0.2 , 0.3 , 0.5 )
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