csat-suneung 2017 Q8

csat-suneung · South-Korea · csat__math-science 3 marks Vectors Introduction & 2D Section Ratios and Intersection via Vectors

In coordinate space, for two points $\mathrm { A } ( 1 , a , - 6 ) , \mathrm { B } ( - 3,2 , b )$, when the point that externally divides the line segment AB in the ratio $3 : 2$ lies on the $x$-axis, what is the value of $a + b$? [3 points]
(1) $-1$
(2) $-2$
(3) $-3$
(4) $-4$
(5) $-5$

In coordinate space, for two points $\mathrm { A } ( 1 , a , - 6 ) , \mathrm { B } ( - 3,2 , b )$, when the point that externally divides the line segment AB in the ratio $3 : 2$ lies on the $x$-axis, what is the value of $a + b$? [3 points]\\
(1) $-1$\\
(2) $-2$\\
(3) $-3$\\
(4) $-4$\\
(5) $-5$

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