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प्रश्न
Find the cartesian equations of the line passing through A(–1, 2, 1) and having direction ratios 2, 3, 1.
उत्तर
The cartesian equations of the line passing through (x1, y1, z1) and having direction ratios a, b, c are
`(x - x_1)/a = (y - y_1)/b = (z - z_1)/c`
∴ The cartesian equations of the line passing through the point (–1, 2, 1) and having direction ratios 2, 3, 1 are
`(x - (-1))/(2) = (y - 2)/(3) = (z - 1)/(1)`
i.e. `(x + 1)/(2) = (y - 2)/(3) = (z - 1)/(1)`
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