First slide

Straight lines in 3D

Question

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

Easy

A

$\frac{x - a}{1} = \frac{y - b}{1} = \frac{z - c}{3}$
B

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

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

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

Solution

The equation of straight line passing through the point $(a, b, c)$ and parallel to $z -$ axis is $\frac{x - a}{0} = \frac{y - b}{0} = \frac{z - c}{1}$
$(\sin c e z - a x i s d . r' s a r e 0, 0, 1)$

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