iran-konkur 2014 Q135

iran-konkur · Other · konkur-riazi_1393 Vectors: Lines & Planes Distance Computation (Point-to-Plane or Line-to-Line)
135- What is the length of the common perpendicular of the two lines $$\frac{x-1}{1} = \frac{y+2}{-1} = \frac{z}{3} \quad \text{and} \quad \begin{cases} x = 2y - 1 \\ z = 3y - 2 \end{cases}$$?
(1) $\sqrt{3}$ (2) $\sqrt{6}$ (3) $2\sqrt{3}$ (4) $2\sqrt{6}$
\textbf{135-} What is the length of the common perpendicular of the two lines
$$\frac{x-1}{1} = \frac{y+2}{-1} = \frac{z}{3} \quad \text{and} \quad \begin{cases} x = 2y - 1 \\ z = 3y - 2 \end{cases}$$?

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(1) $\sqrt{3}$ \hfill (2) $\sqrt{6}$ \hfill (3) $2\sqrt{3}$ \hfill (4) $2\sqrt{6}$

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