| 1. | This representation is unique for a directed line.
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| 2. | The basic computation thus attempts to find the shortest directed line tangent to four oblate spherical shells centred on four satellites.
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| 3. | Vectors are usually shown in graphs or other diagrams as arrows ( directed line segments ), as illustrated in the figure.
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| 4. | For example, in the case of directed lines in the plane one may take the representation space to be a cylinder.
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| 5. | Directed lines are used to connect input variables to block inputs, and block outputs to output variables and inputs of other blocks.
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| 6. | Hamilton defined a quaternion as the quotient of two directed lines in a three-dimensional space or equivalently as the quotient of two vectors.
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| 7. | When " D " is external to the segment " BC ", directed line segments and directed angles must be used in the calculation.
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| 8. | A vector can be described as a directed line segment from the origin of the Euclidean space ( vector tail ), to a point in that space ( vector tip ).
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| 9. | All are based around choosing a point ( the origin ) on a chosen directed line ( the " x "-axis ) and after that many choices exist.
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| 10. | All are based on choosing a real ( non Origin ) on a chosen directed line ( the " x "-axis ) and after that many choices exist.
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