csat-suneung 2024 Q23_geometry

csat-suneung · South-Korea · csat__math 2 marks Vectors 3D & Lines Section Division and Coordinate Computation
For two points $\mathrm{A}(a, -2, 6)$ and $\mathrm{B}(9, 2, b)$ in coordinate space, the midpoint of segment AB has coordinates $(4, 0, 7)$. What is the value of $a + b$? [2 points]
(1) 1
(2) 3
(3) 5
(4) 7
(5) 9
For two points $\mathrm{A}(a, -2, 6)$ and $\mathrm{B}(9, 2, b)$ in coordinate space, the midpoint of segment AB has coordinates $(4, 0, 7)$. What is the value of $a + b$? [2 points]\\
(1) 1\\
(2) 3\\
(3) 5\\
(4) 7\\
(5) 9