Direction Cosines And Direction Ratios Of A Line in 3D Plane

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BYJU'S

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In this video, what is direction cosines and direction ratios of a 3D line, are discussed. In simple terms, these systems are nothing but a way to represent the direction of a 3D vector. Understand the direction cosines of a line and its direction ratios with suitable examples given in this video.
Direction Cosines of a line/ vector in 3D Space:
Direction cosines or directional cosines of a vector are the cosines of the angles between that vector and the three coordinate axes. The direction cosines of a line are generally denoted by l, m, and n. It should be noted that the sum of squares of the direction cosines of a line is equal to unity
Direction Ratios of a line/ vector in 3D Space:
Direction ratios of a vector or line can be defined as any numbers that are proportional to the direction cosines. Generally, directional ratios are denoted by a, b, and c.
Get more information about direction ratios and direction cosines of a vector or line by visiting here - byjus.com/math...
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