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Find the vector equation of the line passing through the point having position vector k4i^-j^+2k^ and parallel to the vector -2i^-j^+k^. - Mathematics and Statistics

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प्रश्न

Find the vector equation of the line passing through the point having position vector `4hat i - hat j + 2hat"k"` and parallel to the vector `-2hat i - hat j + hat k`.

योग
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उत्तर

Let `A(bar a) = 4 hat i - hat j + 2 hat k` and

`bar b = -2 hat i - hat j + hat k`

The vector equation of line passing through `A(bar a)` and parallel to vector `bar b` is

`bar r = bar a + lambda barb`

`bar r = (4hat i - hat j + 2hat k) + lambda (-2hat i - hat j + hat k)`

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Vector and Cartesian Equations of a Line
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अध्याय 1.6: Line and Plane - Very Short Answers

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