First slide

Straight lines in 3D

Question

The equation of the line passing through (-1, 2, -3 ) and perpendicular to the plane $2 x + 3 y + z + 5 = 0$ is

Moderate

A

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

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

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

$\frac{x + 1}{1} = \frac{y - 2}{1} = \frac{z + 3}{1}$

Solution

By verify the options required line satisfied line by the given point and apply the perpendicular condition of line and plane
line d r s is equal to plane normal d.r

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