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Find the equation of the line passing th...

Find the equation of the line passing through the points (1, 2, 3) and (-1, 0, 4).

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To find the equation of the line passing through the points \( A(1, 2, 3) \) and \( B(-1, 0, 4) \), we can use the parametric form of the line in three-dimensional space. The equation of a line can be expressed in the form: \[ \frac{x - x_1}{x_2 - x_1} = \frac{y - y_1}{y_2 - y_1} = \frac{z - z_1}{z_2 - z_1} \] ### Step 1: Identify the coordinates of the points Let \( A(x_1, y_1, z_1) = (1, 2, 3) \) and \( B(x_2, y_2, z_2) = (-1, 0, 4) \). ...
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