First slide

Straight lines in 3D

Question

The equation of straight line parallel to $2 \bar{i} - \bar{j} + 3 \bar{k}$ and passing through the point (5,-2,4) is

Easy

A

$\frac{x - 5}{2} = \frac{y + 2}{- 1} = \frac{z - 3}{4}$
B

$\frac{x + 5}{2} = \frac{y + 2}{- 1} = \frac{z - 4}{3}$
C

$\frac{x - 5}{2} = \frac{y + 2}{- 1} = \frac{z - 4}{3}$
D

$\frac{x - 5}{- 1} = \frac{y - 2}{2} = \frac{z - 4}{3}$

Solution

The equation of a straight line passing through the point $(x_{1}, y_{1}, z_{1})$ and having direction ratios proportional to $⟨ a, b, c ⟩$ is $\frac{x - x_{1}}{a} = \frac{y - y_{1}}{b} = \frac{z - z_{1}}{c}$
The equation of straight line parallel to $2 \bar{i} - \bar{j} + 3 \bar{k}$ and passing through the point (5,-2,4) is $\frac{x - 5}{2} = \frac{y + 2}{- 1} = \frac{z - 4}{3}$

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