The direction ratios of the line joining the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The direction ratios of a line passing through two points $(x_1, y_1, z_1)$ and $(x_2, y_2, z_2)$ are given by $(x_2 - x_1, y_2 - y_1, z_2 - z_1)$

Vedclass · Accepted Answer

$6, 2, 3$

Vedclass · Answer

(A) The direction ratios of a line passing through two points $(x_1, y_1, z_1)$ and $(x_2, y_2, z_2)$ are given by $(x_2 - x_1, y_2 - y_1, z_2 - z_1)$.Given points are $(x_1, y_1, z_1) = (4, 3, -5)$ and $(x_2, y_2, z_2) = (-2, 1, -8)$.Direction ratios = $(-2 - 4, 1 - 3, -8 - (-5))$.Direction ratios = $(-6, -2, -3)$.Alternatively,taking the difference as $(x_1 - x_2, y_1 - y_2, z_1 - z_2)$ gives $(4 - (-2), 3 - 1, -5 - (-8)) = (6, 2, 3)$.Since the direction ratios are proportional,both $(-6, -2, -3)$ and $(6, 2, 3)$ represent the same line. Given the options,$(6, 2, 3)$ is the correct choice.

The direction ratios of the line joining the points $(4, 3, -5)$ and $(-2, 1, -8)$ are

Similar Questions

The angle between the lines whose direction ratios satisfy the equations $l+m+n=0$ and $l^2=m^2+n^2$ is

The angle between the lines with direction ratios $(2, -2, 1)$ and $(1, -2, 2)$ is

If $\ell, m, n$ and $a, b, c$ are direction cosines of two lines,then:

If a line makes angles $\frac{\pi}{3}$ and $\frac{\pi}{4}$ with the $X$-axis and $Y$-axis respectively,then the angle made by the line with the $Z$-axis is

If a line makes angles of $120^{\circ}$ and $60^{\circ}$ with the $x$ and $y$ axes respectively,what angle does it make with the $z$ axis?

Vedclass Test Series

Exam Paper Generator

Online Exam Module