The direction ratios of the line \(\frac{1-x}{3}=\frac{7y-14}{2}=\frac{z-3}{2}\)are |
-3,\(\frac{1}{7}\),2 -3,2,2 -3,\(\frac{2}{7}\),1 -21,2,14 |
-21,2,14 |
\(=\frac{1-x}{3}=\frac{7y-14}{2}=\frac{z-3}{2}\) \(\frac{-(x+1}{3}=\frac{(y-2)}{2}=\frac{z-3}{2}⇒\frac{z-1}{-3}=\frac{y-2}{\frac{2}{7}}=\frac{z-3}{2}\) Direction ratio are x = -3 y = $\frac{2}{7}$ z = 2 So direction ratios are = (-3, $\frac{2}{7}$, 2) or $\frac{-3×7,2,2×7}{7}$ $=\frac{-21,2,14}{7}=(-21,2,14)$ taking same L.C.M So option 4 is correct. |