Question

If the projections of a straight line segment on the coordinate axes are $2,3,6$, then the length of the segment is

• A. $5$ units
• B. $7$ units
• C. $11$ units
• D. $49$ units

Answer 1

Answer: (B)

$7$ units

Projection of the line on various coordinate axes will give the $x,y,z$ components of the line segment.

Here the components are given as $2,3,6$.

So length of the line is

$\sqrt{2^2+3^2+6^2}=\sqrt{49}=7$ units

Hence, B is correct.