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

• A. $\frac{10}{7}$
• B. $\frac{22}{7}$
• C. $\frac{18}{7}$
• D. $5$

Answer 1

The correct option is B $\frac{22}{7}$

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