The equation of straight line passing through the point (a,b,c) and parallel to Z-axis is:

Question

The equation of straight line passing through the point $(a, b, c)$ and parallel to Z-axis is:

Smart Achievers · Accepted Answer

(4)

Ans. $\frac{x - a}{0} = \frac{y - b}{0} = \frac{z - c}{1}$

Explanation:

The line through $(a, b, c)$ is

$\frac{x - a}{l} = \frac{y - b}{m} = \frac{z - c}{n}$ $\dots (i)$

Since the line is parallel to Z-axis, therefore, the direction cosines are $(0, 0, 1) .$

Hence, the line will be $\frac{x - a}{0} = \frac{y - b}{0} = \frac{z - c}{1}$

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