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Question
Find the cartesian equations of the line passing through A(–1, 2, 1) and having direction ratios 2, 3, 1.
Solution
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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