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