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The vector equation of the line passing through the points (3, 5, 4) and (5, 8, 11) is rijkijkr→=3i^+5j^+4k^+λ(2i^+3j^+7k^) - Mathematics

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प्रश्न

The vector equation of the line passing through the points (3, 5, 4) and (5, 8, 11) is `vec"r" = 3hat"i" + 5hat"j" + 4hat"k" + lambda(2hat"i" + 3hat"j" + 7hat"k")`

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is True.

Explanation:

The position vector of the points (3, 5, 4) and (5, 8, 11) are `vec"a" = 3hat"i" + 5hat"j" + 4hat"k", vec"b" = 5hat"i" + 8hat"j" + 11hat"k"`

Therefore, the required equation of the line is given by

`vec"r" = 3hat"i" + 5hat"j" + 4hat"k" + lambda(2hat"i" + 3hat"j" + 7hat"k")`

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अध्याय 11: Three Dimensional Geometry - Solved Examples [पृष्ठ २३४]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 11 Three Dimensional Geometry
Solved Examples | Q 24 | पृष्ठ २३४

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