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what are direction cosines?

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Direction cosines of a vector 'a' are the cosines of the angle between the vector and each of the axes.
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The direction cosines of a vector are the cosines of the angles between the vector and the three coordinate axes. Or equivalently it is the component contributions of the basis to the unit vector.
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Cosines of angles made by a vector with different axis.
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Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

The direction cosines of a vector are the cosines of the angles between the vector and the three coordinate axes.
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In analytic geometry, the direction cosines (or directional cosines) of a vector are the cosines of the angles between the vector and the three coordinate axes. Or equivalently it is the component contributions of the basis to the unit vector.
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