Question

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

• A. $\frac{6}{7},\frac{2}{7},\frac{3}{7}$
• B. $6,2,3$
• C. $2,4,-13$
• D. None of these

Answer 1

The correct option is B

$6,2,3$

Finding the direction ratios:

Given points are: $(4,3,-5)$ and $(-2,1,-8)$

Direction ratios between two points are calculated simply by finding the difference of the position vectors of the two points.

The direction ratio between the two points is:

$$\begin{gathered} (4,3,-5)-(-2,1,-8) \\ =\left(4-(-2),3-1,-5-(-8)\right) \\ =\left(6,2,3\right) \end{gathered}$$

Hence, the correct answer is Option (B).