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Write the Vector Equation of a Line Passing Through a Point Having Position Vector → α and Parallel to Vector → β . - Mathematics

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प्रश्न

Write the vector equation of a line passing through a point having position vector  \[\overrightarrow{\alpha}\] and parallel to vector \[\overrightarrow{\beta}\] .

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उत्तर

The vector equation of the line passing through the point having position vector  \[\overrightarrow{\alpha}\] and parallel to vector \[\overrightarrow{\beta}\] is \[\overrightarrow{r} = \overrightarrow{\alpha} + \lambda \overrightarrow{\beta}\]

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अध्याय 28: Straight Line in Space - Very Short Answers [पृष्ठ ४१]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 28 Straight Line in Space
Very Short Answers | Q 4 | पृष्ठ ४१

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Find the vector and the Cartesian equations of the line that passes through the points (3, −2, −5), (3, −2, 6).

 


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Find the vector and Cartesian equations of a line passing through (1, 2, –4) and perpendicular to the two lines `(x - 8)/3 = (y + 19)/(-16) = (z - 10)/7` and `(x - 15)/3 = (y - 29)/8 = (z - 5)/(-5)`


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