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\viewkind4\uc1\pard\b\f0\fs44 Warm-up Question:\par
\f1\fs32\par
\b0\f0 Is the line l(t) = &lt;1 + t, 2 + 2t, 1 + 3t&gt; contained in the plane 12x -3y - 2z = 6 ?\b\fs44\par
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          <RTF>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Times New Roman;}}
\viewkind4\uc1\pard\b\f0\fs40 Quiz 3 - part 1\fs32\par
}
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\viewkind4\uc1\pard\f0\fs32 1. Find the (parametric) equation of the line through the points P(1, 0, 2) and Q(-1, 2, 0).\b\fs41\par
}
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          <RTF>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Times New Roman;}}
\viewkind4\uc1\pard\f0\fs32 2. Find the equation of the plane through the point P(1, -1, 2) containing the vectors \b v\b0  = &lt;1, 0, 3&gt; and \b w\b0  = &lt;-1, 1, 0&gt;.\par
}
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            <EDDE OBJID="76ba5953-2728-4741-bb4e-f482136dc343" RTF="{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Times New Roman;}}&#xD;&#xA;\viewkind4\uc1\pard\f0\fs32 2. Find the equation of the plane through the point P(1, -1, 2) containing the vectors \b v\b0  = &lt;1, 0, 3&gt; and \b w\b0  = &lt;-1, 1, 0&gt;.\par&#xD;&#xA;}&#xD;&#xA;" />
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    <PAGE BKGR="19065c7a-d8fb-43c4-b767-9bea323c09a3">
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\viewkind4\uc1\pard\b\f0\fs41 Quiz 3 - part 2\par
}
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          <HEI>2646</HEI>
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\viewkind4\uc1\pard\f0\fs32 3. Decide which points are part of the given line and plane:\par
\par
P(1, 1, 2)  \par
   [  ] is part of the line\par
   [  ] is part of the plane\par
\par
Q(-1, 0, 2)\par
   [  ] is part of the line\par
   [  ] is part of the plane\par
}
</RTF>
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          <HEI>7276</HEI>
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\viewkind4\uc1\pard\f0\fs32 Line: l(t) = &lt;t, 1 + t, 1 - t&gt;\par
\par
Plane: 2x - 4y + z = 0\par
}
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            <EDDE OBJID="a3494bfd-6ba8-40f7-bc5c-956f8ed87e9d" RTF="{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Times New Roman;}{\f1\fnil Times New Roman;}}&#xD;&#xA;\viewkind4\uc1\pard\f0\fs32 3. Decide which points are part of the given line and plane:\par&#xD;&#xA;\par&#xD;&#xA;P(1, 1, 2)\f1\par&#xD;&#xA;\f0   \par&#xD;&#xA;   [  ] is part of the line\par&#xD;&#xA;\par&#xD;&#xA;   [  ] is part of the plane\par&#xD;&#xA;\par&#xD;&#xA;\par&#xD;&#xA;Q(-1, 0, 2)\par&#xD;&#xA;\par&#xD;&#xA;   [  ] is part of the line\par&#xD;&#xA;\par&#xD;&#xA;   [  ] is part of the plane\par&#xD;&#xA;}&#xD;&#xA;" />
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          <EDLI>
            <EDDE OBJID="d9620074-d4a2-451a-be2c-5b8876fdc364" RTF="{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Times New Roman;}}&#xD;&#xA;\viewkind4\uc1\pard\b\f0\fs32 Line\b0 : \b l(t)\b0  = &lt;t, 1 + t, 1 - t&gt;\par&#xD;&#xA;\par&#xD;&#xA;\b Plane\b0 : 2x - 4y + z = 0\par&#xD;&#xA;}&#xD;&#xA;" />
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        <EDOB UT="1" SP="3281:3069" EP="23734:14315" PW="1167" PH="876" UID="0a945aa2-12e9-4fcc-962e-9ca790361b90">
          <EDLI>
            <EDDE OBJID="a3494bfd-6ba8-40f7-bc5c-956f8ed87e9d" RTF="{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Times New Roman;}{\f1\fnil Times New Roman;}}&#xD;&#xA;\viewkind4\uc1\pard\f0\fs32 3. Decide which points are part of the given line and plane (check appropriate boxes):\par&#xD;&#xA;\par&#xD;&#xA;P(1, 1, 2)\f1\par&#xD;&#xA;\f0   \par&#xD;&#xA;   [  ] is part of the line\par&#xD;&#xA;\par&#xD;&#xA;   [  ] is part of the plane\par&#xD;&#xA;\par&#xD;&#xA;\par&#xD;&#xA;Q(-1, 0, 2)\par&#xD;&#xA;\par&#xD;&#xA;   [  ] is part of the line\par&#xD;&#xA;\par&#xD;&#xA;   [  ] is part of the plane\par&#xD;&#xA;}&#xD;&#xA;" />
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          <EDLI>
            <EDDE OBJID="a3494bfd-6ba8-40f7-bc5c-956f8ed87e9d" RTF="{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Times New Roman;}{\f1\fnil Times New Roman;}}&#xD;&#xA;\viewkind4\uc1\pard\f0\fs32 3. Decide which points are part of the given line and plane (check appropriate boxes):\par&#xD;&#xA;\par&#xD;&#xA;P(1, 1, 2)\f1\par&#xD;&#xA;\f0   \par&#xD;&#xA;   [  ] is part of the line\par&#xD;&#xA;\par&#xD;&#xA;   [  ] is part of the plane\par&#xD;&#xA;\par&#xD;&#xA;\par&#xD;&#xA;Q(-1, 0, 2)\par&#xD;&#xA;\par&#xD;&#xA;   [  ] is part of the line\par&#xD;&#xA;\par&#xD;&#xA;   [  ] is part of the plane\par&#xD;&#xA;}&#xD;&#xA;" />
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\viewkind4\uc1\pard\b\f0\fs44 Quiz 3 - part 3\par
\b0\f1\fs36\par
\f0 4. Find the distance between P(3, 2, 1) and x + y + z - 1 = 0\fs32\par
}
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