jee-main 2022 Q78

jee-main · India · session2_26jul_shift1 Vectors 3D & Lines Distance from a Point to a Line (Show/Compute)
The length of the perpendicular from the point $( 1 , - 2,5 )$ on the line passing through $( 1,2,4 )$ and parallel to the line $x + y - z = 0 = x - 2 y + 3 z - 5$ is:
(1) $\sqrt { \frac { 21 } { 2 } }$
(2) $\sqrt { \frac { 9 } { 2 } }$
(3) $\sqrt { \frac { 73 } { 2 } }$
(4) 1
The length of the perpendicular from the point $( 1 , - 2,5 )$ on the line passing through $( 1,2,4 )$ and parallel to the line $x + y - z = 0 = x - 2 y + 3 z - 5$ is:\\
(1) $\sqrt { \frac { 21 } { 2 } }$\\
(2) $\sqrt { \frac { 9 } { 2 } }$\\
(3) $\sqrt { \frac { 73 } { 2 } }$\\
(4) 1