Three Dimensional Geometry Question 98

Question: The projection of the line segment joining the points (?1, 0, 3) and (2, 5, 1) on the line whose direction ratios are 6, 2, 3 is

[AI CBSE 1985]

Options:

A) $ \frac{10}{7} $

B) $ \frac{22}{7} $

C) $ \frac{18}{7} $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Obviously, the projection = $ [2-(-1)]\frac{6}{7}+[5-0]\frac{2}{7}+[1-3]\frac{6}{7} $ = $ \frac{18+10-6}{7} $ = $ \frac{22}{7} $ .