The magnitude of a given vector with end points (5, – 5, 0) and (2, 3, 0) must be ______.

Correct option is D

​$$\begin{aligned}&\text{The vector } \vec{v} \text{ from point } A(5, -5, 0) \text{ to point } B(2, 3, 0) \text{ is calculated by subtracting the coordinates of } A \text{ from } B: \\[6pt]&\vec{v} = B - A = (2 - 5,\, 3 - (-5),\, 0 - 0) = (-3,\, 8,\, 0) \\[12pt]&\textbf{Compute the Magnitude of the Vector} \\[6pt]&\text{The magnitude } |\vec{v}| \text{ of a vector } (v_x, v_y, v_z) \text{ is given by:} \\[6pt]&|\vec{v}| = \sqrt{v_x^2 + v_y^2 + v_z^2} \\[6pt]&\text{Substituting the components of } \vec{v}: \\[6pt]&|\vec{v}| = \sqrt{(-3)^2 + 8^2 + 0^2} = \sqrt{9 + 64 + 0} = \sqrt{73}\end{aligned}$$​​