The equation of the line passing through the points 1,2,3,2,−1,2is

A
$\frac{x - 1}{2} = \frac{y - 2}{- 1} = \frac{z - 3}{2}$
B
$\frac{x - 1}{1} = \frac{y - 2}{- 3} = \frac{z - 3}{- 1}$
C
$\frac{x - 2}{1} = \frac{y + 1}{2} = \frac{z - 1}{3}$
D
$\frac{x - 2}{1} = \frac{y + 1}{2} = \frac{z + 1}{3}$

Solution:

The equation of the line joining the points $A (x_{1}, y_{1}, z_{1}), B (x_{2}, y_{2}, z_{2})$ is $\frac{x - x_{1}}{x_{2} - x_{1}} = \frac{y - y_{1}}{y_{2} - y_{1}} = \frac{z - z_{1}}{z_{2} - z_{1}}$

Therefore, the equation of the line joining the points $(1, 2, 3), (2, - 1, 2)$ is $\frac{x - 1}{1} = \frac{y - 2}{- 3} = \frac{z - 3}{- 1}$

The equation of the line passing through the points $(1, 2, 3), (2, - 1, 2)$ is

Solution:

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