$[-/0\mathrm{.}5$ Points$]$

SCALCET$812\mathrm{.}5\mathrm{.}006.$

Find parametric equations for the line. $($Use the parameter $t.)$

The line through the origin and the point $(6,7,-1)$

Find the symmetric equations.

$\frac{x}{6}=\frac{y}{7}=z$

$\frac{x}{7}=\frac{y}{6}=-z$

$x+6=y+7=z-1$

$\frac{x}{6}=\frac{y}{7}=-z$

$x-6=y-7=z+1$

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$5.[-/0\mathrm{.}5$ Points$]$ SCALCET$812\mathrm{.}5\mathrm{.}024.$

Find an equation of the plane.

The plane through the point $(7,2,6)$ and with normal vector $3i+j-k$

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