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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.
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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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