Step 1:

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The parametric equations of the skew lines are considered as,

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$\"\"$

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Since two lines are skew lines they can be considered as lying on two parallel planes $\"\"$ .

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Find the plane equation $\"\"$ and choose any point on line $\"\"$ , then find the distance between them.

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It is same as the distance between the skew lines.

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The vectors parallel to the skew lines are $\"\"$

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The normal vector to the vectors $\"\"$ is $\"\"$ .

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The normal vector to the vectors $\"\"$ is

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$\"\"$

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$\"\"$

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$\"\"$

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Find the point on line $\"\"$ by putting $\"\"$ in parametric equation.of $\"\"$ .

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$\"\"$

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Thus , the point on the line $\"\"$ is $\"\"$ .

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Plane equation with normal vector $\"\"$ is

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$\"\"$ .

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Find the plane equation $\"\"$ by substituting $\"\"$ and $\"\"$ in above formula.

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$\"\"$

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Find the point on the line $\"\"$ by putting $\"\"$ in parametric equation of $\"\"$ .

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$\"\"$

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Thus, the point on the line $\"\"$ is $\"\"$ .

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Formula for the distance from a point $\"\"$ to the plane $\"\"$ is $\"\"$ .

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Find the distance from the point $\"\"$ to the plane $\"\"$ , using above formula.

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$\"\"$

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$\"\"$

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Solution:

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The distance between the skew lines is $\"\"$ .

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