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=3i^+6j^+2k^\mathbf{a}=3\hat{i}+6\hat{j}+2\hat{k} makes with the coordinate axes are (1) cos⁡−137, cos⁡−167\cos^{-1}\frac{3}{7},\ \cos^{-1}\frac{6}{7} and cos⁡−127\cos^{-1}\frac{2}{7} (2) cos⁡−147, cos⁡−157\cos^{-1}\frac{4}{7},\ \cos^{-1}\frac{5}{7} and cos⁡−137\cos^{-1}\frac{3}{7} (3) cos⁡−137, cos⁡−147\cos^{-1}\frac{3}{7},\ \cos^{-1}\frac{4}{7} and cos⁡−117\cos^{-1}\frac{1}{7} (4) None of these

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