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\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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    </PAGE>
    <PAGE BKGR="19065c7a-d8fb-43c4-b767-9bea323c09a3">
      <OLST>
        <RTEXT UT="1" SP="3519:1455" PW="1167" PH="876" UID="d6916f40-b78a-498d-b59f-dc188257aa4c">
          <RTF>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Times New Roman;}{\f1\fnil Times New Roman;}}
\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
}
</RTF>
          <WID>24633</WID>
          <HEI>4022</HEI>
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    </PAGE>
    <PAGE BKGR="19065c7a-d8fb-43c4-b767-9bea323c09a3">
      <OLST>
        <RTEXT UT="1" SP="3519:1455" PW="1167" PH="876" UID="d6916f40-b78a-498d-b59f-dc188257aa4c">
          <RTF>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Times New Roman;}{\f1\fnil Times New Roman;}}
\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
}
</RTF>
          <WID>24633</WID>
          <HEI>4022</HEI>
        </RTEXT>
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          <EDLI>
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    <PAGE BKGR="19065c7a-d8fb-43c4-b767-9bea323c09a3">
      <OLST>
        <RTEXT UT="1" SP="3254:1402" PW="1167" PH="876" UID="f4ae01c5-148b-40f0-8e87-b8431bd7b260">
          <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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          <WID>6879</WID>
          <HEI>2646</HEI>
        </RTEXT>
        <RTEXT UT="1" SP="3360:3228" PW="1167" PH="876" UID="ee7bf256-dac1-4999-ad64-b4ae8d9953ae">
          <RTF>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Times New Roman;}}
\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
}
</RTF>
          <WID>25665</WID>
          <HEI>1323</HEI>
        </RTEXT>
        <RTEXT UT="1" SP="3545:9578" PW="1167" PH="876" UID="76ba5953-2728-4741-bb4e-f482136dc343">
          <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
}
</RTF>
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          <HEI>2646</HEI>
        </RTEXT>
        <EDOB UT="1" SP="3466:9473" EP="30216:11670" PW="1167" PH="876" UID="5ac8aa22-13f3-4362-bfbe-3e4ee8036931">
          <EDLI>
            <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">
      <OLST>
        <RTEXT UT="1" SP="3360:1588" PW="1167" PH="876" UID="bc928828-2d10-4a94-b2f6-98ac8c120c32">
          <RTF>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Times New Roman;}}
\viewkind4\uc1\pard\b\f0\fs41 Quiz 3 - part 2\par
}
</RTF>
          <WID>6959</WID>
          <HEI>2646</HEI>
        </RTEXT>
        <RTEXT UT="1" SP="3281:3069" PW="1167" PH="876" UID="a3494bfd-6ba8-40f7-bc5c-956f8ed87e9d">
          <RTF>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Times New Roman;}}
\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>
          <WID>15981</WID>
          <HEI>7276</HEI>
        </RTEXT>
        <RTEXT UT="1" SP="16589:5265" PW="1167" PH="876" UID="d9620074-d4a2-451a-be2c-5b8876fdc364">
          <RTF>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Times New Roman;}}
\viewkind4\uc1\pard\f0\fs32 Line: l(t) = &lt;t, 1 + t, 1 - t&gt;\par
\par
Plane: 2x - 4y + z = 0\par
}
</RTF>
          <WID>7858</WID>
          <HEI>2646</HEI>
        </RTEXT>
        <EDOB UT="1" SP="3281:3069" EP="19263:13653" PW="1167" PH="876" UID="de97f730-4324-44b8-b10b-06a904c80970">
          <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:\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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          <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;" />
          </EDLI>
        </EDOB>
        <EDOB UT="1" SP="3281:3069" EP="26962:14315" PW="1167" PH="876" UID="1ab99f27-fd6f-4c3b-8cca-5ccefb918eb5">
          <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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    </PAGE>
    <PAGE BKGR="19065c7a-d8fb-43c4-b767-9bea323c09a3">
      <OLST>
        <RTEXT UT="1" SP="3307:1376" PW="1167" PH="876" UID="e4fe57a1-63e7-4ab8-9c5c-c98a486aac5d">
          <RTF>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Times New Roman;}{\f1\fnil Times New Roman;}}
\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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