First slide

Straight lines in 3D

Question

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

Moderate

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

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App