Show that the lines −3x+3==5z−5;−1x+1=2y−2=5z−5are coplanar. Also find the equation of the plane containing the lines.

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Show that the lines {{{x}+{3}}}{{-{3}}}=={{{z}-{5}}}{{5}};{{{x

Question

Show that the lines $\frac{x + 3}{- 3} == \frac{z - 5}{5}; \frac{x + 1}{- 1} = \frac{y - 2}{2} = \frac{z - 5}{5}$ are coplanar. Also find the equation of the plane containing the lines.

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Lucas Discussed

Show that the lines

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

are coplanar. Also find the equation of the plane containing the lines.

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Question Text

Show that the lines

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

are coplanar. Also find the equation of the plane containing the lines.