csat-suneung 2013 Q2

csat-suneung · South-Korea · csat__math-science 2 marks Vectors 3D & Lines Section Division and Coordinate Computation
In coordinate space, for two points $\mathrm { A } ( a , 1,3 ) , \mathrm { B } ( a + 6,4,12 )$, the point that divides the line segment AB internally in the ratio $1 : 2$ has coordinates $( 5,2 , b )$. What is the value of $a + b$? [2 points]
(1) 7
(2) 8
(3) 9
(4) 10
(5) 11 
In coordinate space, for two points $\mathrm { A } ( a , 1,3 ) , \mathrm { B } ( a + 6,4,12 )$, the point that divides the line segment AB internally in the ratio $1 : 2$ has coordinates $( 5,2 , b )$.\\
What is the value of $a + b$? [2 points]\\
(1) 7\\
(2) 8\\
(3) 9\\
(4) 10\\
(5) 11
Paper Questions
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