The length of line segment joining the points with position vectors $2\hat i-2\hat j +3\hat k$ and $5\hat i +2\hat j +3\hat k$ is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 5
Position vectors are $\vec a=(2,-2,3)$ and $\vec b=(5,2,3)$.
Vector joining the points:
$\vec b-\vec a=(5-2,\;2-(-2),\;3-3)=(3,4,0)$
Length of the line segment:
$|\vec b-\vec a|=\sqrt{3^{2}+4^{2}+0^{2}}$
$=\sqrt{9+16}=5$
Final answer: $5$