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Question
Find the Cartesian equation of the line passing through A(1, 2, 3) and B(2, 3, 4)
Solution
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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