csat-suneung 2018 Q2

csat-suneung · South-Korea · csat__math-science 2 marks Vectors 3D & Lines Section Division and Coordinate Computation

For two points $\mathrm { A } ( 1,6,4 ) , \mathrm { B } ( a , 2 , - 4 )$ in coordinate space, the point that divides segment AB internally in the ratio $1 : 3$ has coordinates $( 2,5,2 )$. What is the value of $a$? [2 points]
(1) 1
(2) 3
(3) 5
(4) 7
(5) 9

For two points $\mathrm { A } ( 1,6,4 ) , \mathrm { B } ( a , 2 , - 4 )$ in coordinate space, the point that divides segment AB internally in the ratio $1 : 3$ has coordinates $( 2,5,2 )$. What is the value of $a$? [2 points]\\
(1) 1\\
(2) 3\\
(3) 5\\
(4) 7\\
(5) 9

Paper Questions

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