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The angles which the vector makes with the coordinate axes are
MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry
Problem The angles which the vector a = 3 i ^ + 6 j ^ + 2 k ^ \mathbf{a}=3\hat{i}+6\hat{j}+2\hat{k} a = 3 i ^ + 6 j ^ + 2 k ^ makes with the coordinate axes are
(1) cos − 1 3 7 , cos − 1 6 7 \cos^{-1}\frac{3}{7},\ \cos^{-1}\frac{6}{7} cos − 1 7 3 , cos − 1 7 6 and cos − 1 2 7 \cos^{-1}\frac{2}{7} cos − 1 7 2
(2) cos − 1 4 7 , cos − 1 5 7 \cos^{-1}\frac{4}{7},\ \cos^{-1}\frac{5}{7} cos − 1 7 4 , cos − 1 7 5 and cos − 1 3 7 \cos^{-1}\frac{3}{7} cos − 1 7 3
(3) cos − 1 3 7 , cos − 1 4 7 \cos^{-1}\frac{3}{7},\ \cos^{-1}\frac{4}{7} cos − 1 7 3 , cos − 1 7 4 and cos − 1 1 7 \cos^{-1}\frac{1}{7} cos − 1 7 1
(4) None of these
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