Question:
Distance of the point (3, 4, 5) from the origin (0, 0, 0) is
(A) √50
(B) 3
(C) 4
(D) 5
Solution:
(A) √50
Explanation:
Let $P$ be the point whose coordinate is $(3,4,5)$ and $Q$ represents the origin. From distance formula we can write as
$P Q=\sqrt{(3-0)^{2}+(4-0)^{2}+(5-0)^{2}}$
$=\sqrt{9+16+25}$
$=\sqrt{50}$
$\therefore$ Distance of the point $(3,4,5)$ from the origin $(0,0,0)$ is $\sqrt{50}$ units. Hence, option (A) is the only correct choice.