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प्रश्न
Find the vector equation of the line which passes through the point (3, 2, 1) and is parallel to the vector `2hat"i" + 2hat"j" - 3hat"k"`.
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उत्तर
The vector equation of the line passing through A(`bar(a))` and parallel to the vector `bar"b"` is `bar"r" = bar"a" + lambdabar"b"`, where `lambda` is a scalar.
∴ the vector equation of the line passing through the point having position vector `3hat"i" + 2hat"j" + hat"k"` and parallel to the vector `2hat"i" + 2hat"j" - 3hat"k"` is `bar"r" = (3hat"i" + 2hat"j" + hat"k") + lambda(2hat"i" + 2hat"j" - 3hat"k")`.
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