Question

Find the distance between the points $P(1,-3,4)$ and $Q(-4,1,2)$.

• A. $\sqrt{5}$ units
• B. $5\sqrt{3}$ units
• C. $3\sqrt{5}$ units
• D. $2\sqrt{2}$ units

Answer 1

Answer: (C)

The distance between the points $P(1,-3,4)$ and $Q(-4,1,2)$ is
$PQ=\sqrt{{\left(-4-1\right)}^2+{\left(1+3\right)}^2+{\left(2-4\right)}^2}$
$=\sqrt{25+16+4}=\sqrt{45}$
$=3\sqrt{5}$ units