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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  3-D Geometry
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The line $\overrightarrow r=\hat i+2\hat j-\hat k+\lambda(2\hat i-\hat k)$ is $\perp$ to which axis?

$\begin {array} {1 1} (A)\;X-axis & \quad (B)\;Y-axis \\ (C)\;Z-axis & \quad (D)\;\text{ None of the axes} \end {array}$

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  • Two lines are $\perp$ if the dot product of their D.R. is =0
Direction ratio (D.R.) of the line is $\overrightarrow b=(1,0,-1)$
D.R. of $Y-axis$ is $ (0,1,0)$.
$\therefore $ The line is $\perp$ to $Y-axis$ since $(1,0,-1).(0,1,0)=0$
answered Dec 18, 2013 by rvidyagovindarajan_1

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