If the lines $\frac{x - 1}{- 3} = \frac{y - 2}{- 2 y} = \frac{z - 3}{2}$ and $\frac{x - 1}{k} = \frac{y - 2}{1} - \frac{z - 3}{5}$ are perpendicular, find the value of $k$ and hence find the equation of plane containing these lines.

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If the lines

\frac{x - 1}{- 3} = \frac{y - 2}{- 2 y} = \frac{z - 3}{2}

and

\frac{x - 1}{k} = \frac{y - 2}{1} - \frac{z - 3}{5}

are perpendicular, find the value of

k

and hence find the equation of plane containing these lines.

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Question Text

If the lines

\frac{x - 1}{- 3} = \frac{y - 2}{- 2 y} = \frac{z - 3}{2}

and

\frac{x - 1}{k} = \frac{y - 2}{1} - \frac{z - 3}{5}

are perpendicular, find the value of

k

and hence find the equation of plane containing these lines.

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