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Question: Answered & Verified by Expert
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
MathematicsThree Dimensional GeometryJEE Main
Options:
  • A $\frac{10}{7}$
  • B $\frac{22}{7}$
  • C $\frac{18}{7}$
  • D None of these
Solution:
2539 Upvotes Verified Answer
The correct answer is: $\frac{22}{7}$
Obviously, the projection
$\begin{aligned}
& =[2-(-1)] \frac{6}{7}+[5-0] \frac{2}{7}+[1-3] \frac{6}{7} \\
& =\frac{18+10-6}{7}=\frac{22}{7} .
\end{aligned}$

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