Question

The direction ratios of the straight line joining the points (2, 3, 5) and (4,6,8 are 2.3.3)​

Answer 1

2,3,3

Explanation:

Assume that P=(4,6,8) , Q=(2,3,5)

Position vector of P =4i+6j+8k

Position vector of Q=2i+3j+5k

Direction ratio of straight line joining =

=(4-2)i+(6-3)j+(8-5)k

=2i+3j+3k

=(2,3,3)

Answer is 2,3,3

Answer 2

Step-by-step explanation:

Given:

The two points of the straight line are  $(2, 3, 5)$ and $(4,6,8)$

To find:

The direction ratios of the straight line.

Solution:

Let the points be A$(2,3,5)$ and B$(4,6,8)$.

To calculate the direction ratios of the straight line formed by A and B, we need to find the difference between the position vectors.

Position vector of A $=2i+3k+5j$

Position vector of B $=4i+6k+8j$

∴ Direction ratio of BA = Position vector of B - Position vector of A

                                     $=(4i+6k+8j)-(2i+3k+5j)\\=4i+6k+8j-2i-3k-5j\\=2i+3k+3j$

The required directional ratios is $(2,3,3)$.