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Find the Equations of the Lines Joining the Following Pairs of Vertices and Then Find the Shortest Distance Between the Lines (I) (0, 0, 0) and (1, 0, 2) - Mathematics

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प्रश्न

Find the equations of the lines joining the following pairs of vertices and then find the shortest distance between the lines
(i) (0, 0, 0) and (1, 0, 2) 

उत्तर

The equation of the line passing through the points (0, 0, 0) and (1, 0, 2) is 

\[\frac{x - 0}{1 - 0} = \frac{y - 0}{0 - 0} = \frac{z - 0}{2 - 0}\]

\[ = \frac{x}{1} = \frac{y}{0} = \frac{z}{2}\]

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पाठ 28: Straight Line in Space - Exercise 28.5 [पृष्ठ ३८]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 28 Straight Line in Space
Exercise 28.5 | Q 5.1 | पृष्ठ ३८

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Find the cartesian equation of the line which passes through the point (−2, 4, −5) and parallel to the line given by  \[\frac{x + 3}{3} = \frac{y - 4}{5} = \frac{z + 8}{6} .\]


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Choose correct alternatives:

The difference between the slopes of the lines represented by 3x2 - 4xy + y2 = 0 is 2


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