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प्रश्न
Find the Cartesian equations of the line passing through A(2, 2, 1) and B(1, 3, 0).
उत्तर
The cartesian equations of the line passing through the points (x1, y1, z1) and (x2, y2, z2) are
`(x - x_1)/(x_2 - x_1) = (y - y_1)/(y_2 - y_1) = (z - z_1)/(z_2 - z_1)`
Here, (x1, y1, z1) ≡ (2, 2, 1) and (x2, y2, z2) ≡ (1, 3, 0)
∴ The required cartesian equations are
`(x - 2)/(1 - 2) = (y - 2)/(3 - 2) = (z - 1)/(0 - 1)`
i.e. `(x - 2)/(-1) = (y - 2)/(1) = (z - 1)/(-1)`.
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