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  • Find the value of k so that the lines and x – 2 = 2y + 1 = – z + 1 are perpendicular to each other. <div style="float:left; wi

Find the value of k so that the lines x = - y = kz and x – 2 = 2y + 1 = – z + 1 are perpendicular to each other.

 

 

 
 
 
 
 

Answers (1)

\\ \text { The line }L_1: \frac{x}{1}=\frac{y}{-1}=\frac{z}{\frac{1}{k}} \\\\ \text { Line }L_2 : \frac{x-2}{1}=\frac{y+\frac{1}{2}}{\frac{1}{2}}=\frac{z-1}{-1}\\

\\ \text {Given: Two lines are perpendicular } \\\\ \Rightarrow 1\times 1 + (-1)\times \frac{1}{2}+\frac{1}{\mathrm{k}}\times (-1)=0 \\ \mathrm{k}=2

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