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प्रश्न
Find the Cartesian equation of the line passing through A(1, 2, 3) and B(2, 3, 4)
उत्तर
The Cartesian equation of the line passing through A(x1, y1, z1) and B(x2, y2, z2) is
`(x - x_1)/(x_2 - x_1) = (y - y_1)/(y_2 - y_1) = (z - z_1)/(z_2 - z_1)`
∴ The Cartesian equation of line is
`(x - 1)/(2 - 1) = (y - 2)/(3 - 2) = (z - 3)/(4 - 3)`
∴ x – 1 = y – 2 = z – 3
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