csat-suneung 2019 Q13

csat-suneung · South-Korea · csat__math-science 3 marks Vectors: Lines & Planes Find Intersection of a Line and a Plane
In coordinate space, the $x$-coordinate of the point where the plane passing through the point $( 2,0,5 )$ and containing the line $x - 1 = 2 - y = \frac { z + 1 } { 2 }$ meets the $x$-axis is? [3 points]
(1) $\frac { 9 } { 2 }$
(2) 4
(3) $\frac { 7 } { 2 }$
(4) 3
(5) $\frac { 5 } { 2 }$
In coordinate space, the $x$-coordinate of the point where the plane passing through the point $( 2,0,5 )$ and containing the line $x - 1 = 2 - y = \frac { z + 1 } { 2 }$ meets the $x$-axis is? [3 points]\\
(1) $\frac { 9 } { 2 }$\\
(2) 4\\
(3) $\frac { 7 } { 2 }$\\
(4) 3\\
(5) $\frac { 5 } { 2 }$