The equation of the straight line passing thr | vedclass

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(B) The equation of a line passing through two points $(x_1, y_1, z_1)$ and $(x_2, y_2, z_2)$ is given by $\frac{x - x_1}{x_2 - x_1} = \frac{y - y_1}{

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$\frac{x - a}{b} = \frac{y - b}{c} = \frac{z - c}{a}$

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(B) The equation of a line passing through two points $(x_1, y_1, z_1)$ and $(x_2, y_2, z_2)$ is given by $\frac{x - x_1}{x_2 - x_1} = \frac{y - y_1}{y_2 - y_1} = \frac{z - z_1}{z_2 - z_1}$.Given points are $(a, b, c)$ and $(a - b, b - c, c - a)$.Substituting these values into the formula:$\frac{x - a}{(a - b) - a} = \frac{y - b}{(b - c) - b} = \frac{z - c}{(c - a) - c}$Simplifying the denominators:$\frac{x - a}{-b} = \frac{y - b}{-c} = \frac{z - c}{-a}$Multiplying by $-1$ throughout:$\frac{x - a}{b} = \frac{y - b}{c} = \frac{z - c}{a}$.

The equation of the straight line passing through the points $(a, b, c)$ and $(a - b, b - c, c - a)$ is:

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