<?xml version="1.0" encoding="UTF-8"?>
<document>
    <cabriml_version>2.1.2 (318,Windows NT)</cabriml_version>
    <animation_state>stopped</animation_state>
    <replay_construction_cycling_mode>off</replay_construction_cycling_mode>
    <display_scale>1.000</display_scale>
    <active_view>%8</active_view>
    <active_page>%1</active_page>
    <settings>
        <id>doc_settings</id>
        <window_y_offset>0</window_y_offset>
        <window_x_offset>-277</window_x_offset>
        <settings>
            <id>history_window</id>
            <dockinfo>1</dockinfo>
            <hidden>1</hidden>
            <width>841</width>
            <height>421</height>
            <y>0</y>
            <x>0</x>
            <state>4</state>
        </settings>
        <settings>
            <id>document_window</id>
            <hidden>0</hidden>
            <width>600</width>
            <height>800</height>
            <y>0</y>
            <x>0</x>
            <state>2</state>
        </settings>
    </settings>
    <ref>
        <id>history_data</id>
        <target>%12</target>
    </ref>
    <plane3>
        <id>Z0_Plane</id>
        <gstate>defined</gstate>
        <value>(0,0,1,0)</value>
        <surface_thickness>normal_surface_thickness</surface_thickness>
        <surface_style>solid_surface_style</surface_style>
        <surface_color1>ivory</surface_color1>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>dim_gray</curve_color1>
        <base_surface_thickness>template_plane3_base_surface_thickness</base_surface_thickness>
        <base_curve_radius>plane3_base_curve_radius</base_curve_radius>
    </plane3>
    <vector3>
        <id>K_vector</id>
        <gstate>defined</gstate>
        <origin>(0,0,0,1)</origin>
        <value>(0,0,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>tomato</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>steel_blue</curve_color1>
        <base_point_size>vector3_base_point_size</base_point_size>
        <base_curve_radius>vector3_base_curve_radius</base_curve_radius>
    </vector3>
    <vector3>
        <id>J_vector</id>
        <gstate>defined</gstate>
        <origin>(0,0,0,1)</origin>
        <value>(0,1,0)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>tomato</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>lawn_green</curve_color1>
        <base_point_size>vector3_base_point_size</base_point_size>
        <base_curve_radius>vector3_base_curve_radius</base_curve_radius>
    </vector3>
    <vector3>
        <id>I_vector</id>
        <gstate>defined</gstate>
        <origin>(0,0,0,1)</origin>
        <value>(1,0,0)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>tomato</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>orange_red</curve_color1>
        <base_point_size>vector3_base_point_size</base_point_size>
        <base_curve_radius>vector3_base_curve_radius</base_curve_radius>
    </vector3>
    <point3>
        <id>Z1_point</id>
        <state>no_display no_picking</state>
        <value>(0,0,1,1)</value>
    </point3>
    <point3>
        <id>Y1_point</id>
        <state>no_display no_picking</state>
        <value>(0,1,0,1)</value>
    </point3>
    <point3>
        <id>X1_point</id>
        <state>no_display no_picking</state>
        <value>(1,0,0,1)</value>
    </point3>
    <point3>
        <id>O_point</id>
        <gstate>defined</gstate>
        <value>(0,0,0,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <ref>
        <id>document_toolbar</id>
        <target>default_document_toolbar</target>
    </ref>
    <page>
        <id>%1</id>
        <number>1</number>
        <height>29.700</height>
        <width>21.000</width>
        <views>%8</views>
    </page>
    <free_crystal_ball3>
        <id>%6</id>
        <panning>0.000 0.000</panning>
        <elevation>20.000</elevation>
        <azimuth>23.500</azimuth>
        <out_transfo>%7</out_transfo>
        <in_center>origin3</in_center>
    </free_crystal_ball3>
    <transfo3>
        <id>%7</id>
        <value>((-0.39874906892524614,-0.31365301807944862,0.86175458471707722,0),(0.91706007438512405,-0.13638021370478967,0.37470155761430535,0),(0,0.93969262078590832,0.34202014332566882,0),(0,0,0,1))</value>
    </transfo3>
    <gview3>
        <id>%8</id>
        <show_locked>false</show_locked>
        <y>1.500</y>
        <x>1.500</x>
        <height>18.000</height>
        <width>18.000</width>
        <surface_clipping>default_surface_clipping_transfo3</surface_clipping>
        <projection>%7</projection>
        <optics>central_medium_lens</optics>
        <layers>default_layer</layers>
        <clipping>default_clipping_transfo3</clipping>
        <auto_rotate>no_auto_rotate</auto_rotate>
    </gview3>
    <vector_by_two_points3>
        <id>%9</id>
        <out_vector>I_vector</out_vector>
        <in_origin>O_point</in_origin>
        <in_end>X1_point</in_end>
    </vector_by_two_points3>
    <vector_by_two_points3>
        <id>%10</id>
        <out_vector>J_vector</out_vector>
        <in_origin>O_point</in_origin>
        <in_end>Y1_point</in_end>
    </vector_by_two_points3>
    <vector_by_two_points3>
        <id>%11</id>
        <out_vector>K_vector</out_vector>
        <in_origin>O_point</in_origin>
        <in_end>Z1_point</in_end>
    </vector_by_two_points3>
    <history>
        <id>%12</id>
        <font_point>10</font_point>
        <font_family>Helvetica</font_family>
        <wordwrap>1</wordwrap>
        <short_desc>0</short_desc>
        <hidden_filter>0</hidden_filter>
        <synthetic_filter>0</synthetic_filter>
    </history>
    <line3>
        <id>%13</id>
        <gstate>defined</gstate>
        <value>(-1,0,0,0,0,0)</value>
        <graphic_layers>default_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>cornflower_blue</curve_color1>
        <base_curve_radius>line3_base_curve_radius</base_curve_radius>
    </line3>
    <line_of_vector3>
        <id>%14</id>
        <out_line>%13</out_line>
        <in_vector>I_vector</in_vector>
    </line_of_vector3>
    <line3>
        <id>%15</id>
        <gstate>defined</gstate>
        <value>(0,-1,0,0,0,0)</value>
        <graphic_layers>default_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>cornflower_blue</curve_color1>
        <base_curve_radius>line3_base_curve_radius</base_curve_radius>
    </line3>
    <line_of_vector3>
        <id>%16</id>
        <out_line>%15</out_line>
        <in_vector>J_vector</in_vector>
    </line_of_vector3>
    <line3>
        <id>%17</id>
        <gstate>defined</gstate>
        <value>(0,0,-1,0,0,0)</value>
        <graphic_layers>default_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>cornflower_blue</curve_color1>
        <base_curve_radius>line3_base_curve_radius</base_curve_radius>
    </line3>
    <line_of_vector3>
        <id>%18</id>
        <out_line>%17</out_line>
        <in_vector>K_vector</in_vector>
    </line_of_vector3>
    <point3>
        <id>%19</id>
        <state>locked</state>
        <gstate>defined</gstate>
        <value>(0.60419522355738287,2.9698022483969209,3.0693495899141157,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <free_point_in_space3>
        <id>%20</id>
        <position>(0.60419522355738287,2.9698022483969209,3.0693495899141157,1)</position>
        <out_point>%19</out_point>
    </free_point_in_space3>
    <point3>
        <id>%21</id>
        <state>locked</state>
        <gstate>defined</gstate>
        <value>(1.8338568587824102,-1.6058875012990146,1.3980970097465859,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <free_point_in_space3>
        <id>%22</id>
        <position>(1.8338568587824102,-1.6058875012990146,1.3980970097465859,1)</position>
        <out_point>%21</out_point>
    </free_point_in_space3>
    <line_by_two_points3>
        <id>%23</id>
        <out_line>%24</out_line>
        <in_points>%21 %19</in_points>
    </line_by_two_points3>
    <line3>
        <id>%24</id>
        <gstate>defined</gstate>
        <value>(0.093824564164997459,-0.34913026821472204,-0.12751844934574286,0.69289826799238641,0.36502642555384746,-0.48958324206671361)</value>
        <graphic_layers>default_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>large_curve_radius</curve_radius>
        <curve_color1>magenta</curve_color1>
        <base_curve_radius>line3_base_curve_radius</base_curve_radius>
    </line3>
    <label_of_point3>
        <id>%25</id>
        <out_label>%26</out_label>
        <in_object>%21</in_object>
    </label_of_point3>
    <glabel>
        <id>%26</id>
        <gstate>defined</gstate>
        <font_style>italic</font_style>
        <font_point>20</font_point>
        <font_family>Helvetica</font_family>
        <y>0.517</y>
        <x>-1.203</x>
        <value><![CDATA[
A(x<cs3ind>0</cs3ind>,y<cs3ind>0</cs3ind>,z<cs3ind>0</cs3ind>)
]]></value>
        <label_color>black</label_color>
        <graphic_layers>default_layer</graphic_layers>
    </glabel>
    <label_of_point3>
        <id>%27</id>
        <out_label>%28</out_label>
        <in_object>%19</in_object>
    </label_of_point3>
    <glabel>
        <id>%28</id>
        <gstate>defined</gstate>
        <font_style>italic</font_style>
        <font_point>20</font_point>
        <font_family>Helvetica</font_family>
        <y>0.255</y>
        <x>-1.164</x>
        <value>P(x,y,z)</value>
        <label_color>black</label_color>
        <graphic_layers>default_layer</graphic_layers>
    </glabel>
    <vector_by_two_points3>
        <id>%29</id>
        <out_vector>%30</out_vector>
        <in_origin>%21</in_origin>
        <in_end>%19</in_end>
    </vector_by_two_points3>
    <vector3>
        <id>%30</id>
        <gstate>defined</gstate>
        <origin>(1.8338568587824102,-1.6058875012990146,1.3980970097465859,1)</origin>
        <value>(-1.2296616352250274,4.5756897496959352,1.6712525801675298)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>tomato</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>very_large_curve_radius</curve_radius>
        <curve_color1>dodger_blue</curve_color1>
        <base_point_size>vector3_base_point_size</base_point_size>
        <base_curve_radius>vector3_base_curve_radius</base_curve_radius>
    </vector3>
    <point3>
        <id>%31</id>
        <gstate>defined</gstate>
        <value>(2.8976903264621989,2.8708213993141984,2.0777649373739195,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <free_point_in_space3>
        <id>%32</id>
        <position>(2.8976903264621989,2.8708213993141984,2.0777649373739195,1)</position>
        <out_point>%31</out_point>
    </free_point_in_space3>
    <object_image_by_translation3>
        <id>%33</id>
        <in_vector>%30</in_vector>
        <out_object>%34</out_object>
        <in_object>%31</in_object>
    </object_image_by_translation3>
    <point3>
        <id>%34</id>
        <gstate>defined</gstate>
        <value>(1.6680286912371713,7.4465111490101332,3.7490175175414495,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <line_by_two_points3>
        <id>%35</id>
        <out_line>%36</out_line>
        <in_points>%31 %34</in_points>
    </line_by_two_points3>
    <line3>
        <id>%36</id>
        <gstate>defined</gstate>
        <value>(0.062749343834983665,-0.23349637100236728,-0.085283625823493137,0.24031651464758208,0.37750392401790722,-0.8567423345919839)</value>
        <graphic_layers>hidden_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>normal_curve_radius</curve_radius>
        <curve_color1>cornflower_blue</curve_color1>
        <base_curve_radius>line3_base_curve_radius</base_curve_radius>
    </line3>
    <vector_by_two_points3>
        <id>%37</id>
        <out_vector>%38</out_vector>
        <in_origin>%31</in_origin>
        <in_end>%39</in_end>
    </vector_by_two_points3>
    <vector3>
        <id>%38</id>
        <gstate>defined</gstate>
        <origin>(2.8976903264621989,2.8708213993141984,2.0777649373739195,1)</origin>
        <value>(-0.71857667334381403,2.67389322753669,0.97662892373988708)</value>
        <point_style>no_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>tomato</point_color>
        <graphic_layers>default_layer</graphic_layers>
        <curve_style>solid_curve_style</curve_style>
        <curve_radius>very_large_curve_radius</curve_radius>
        <curve_color1>green</curve_color1>
        <base_point_size>vector3_base_point_size</base_point_size>
        <base_curve_radius>vector3_base_curve_radius</base_curve_radius>
    </vector3>
    <point3>
        <id>%39</id>
        <gstate>defined</gstate>
        <value>(2.1791136531183843,5.5447146268508876,3.0543938611138062,1)</value>
        <point_style>sphere_point_style</point_style>
        <point_size>normal_point_size</point_size>
        <point_color>red</point_color>
        <graphic_layers>hidden_layer</graphic_layers>
        <base_point_size>point3_base_point_size</base_point_size>
    </point3>
    <free_point_on_line3>
        <id>%40</id>
        <position>(0.50453831728014043,0.86338930176145023)</position>
        <out_point>%39</out_point>
        <in_line>%36</in_line>
    </free_point_on_line3>
    <label_of_vector3>
        <id>%41</id>
        <out_label>%42</out_label>
        <in_object>%38</in_object>
    </label_of_vector3>
    <glabel>
        <id>%42</id>
        <gstate>defined</gstate>
        <font_style>italic</font_style>
        <font_point>20</font_point>
        <font_family>Euclid</font_family>
        <y>-1.478</y>
        <x>-1.203</x>
        <value>v=(a,b,c)</value>
        <label_color>black</label_color>
        <graphic_layers>default_layer</graphic_layers>
    </glabel>
    <label_of_line3>
        <id>%43</id>
        <label_anchor>(0.99496860649243768,0.10018718528083641)</label_anchor>
        <out_label>%44</out_label>
        <in_object>%13</in_object>
    </label_of_line3>
    <glabel>
        <id>%44</id>
        <gstate>defined</gstate>
        <font_style>italic</font_style>
        <font_point>20</font_point>
        <font_family>Euclid</font_family>
        <y>0.000</y>
        <x>0.000</x>
        <value>x</value>
        <label_color>black</label_color>
        <graphic_layers>default_layer</graphic_layers>
    </glabel>
    <label_of_line3>
        <id>%45</id>
        <label_anchor>(0.9878245421859152,0.15557208571973044)</label_anchor>
        <out_label>%46</out_label>
        <in_object>%15</in_object>
    </label_of_line3>
    <glabel>
        <id>%46</id>
        <gstate>defined</gstate>
        <font_style>italic</font_style>
        <font_point>20</font_point>
        <font_family>Euclid</font_family>
        <y>0.000</y>
        <x>0.000</x>
        <value>y</value>
        <label_color>black</label_color>
        <graphic_layers>default_layer</graphic_layers>
    </glabel>
    <label_of_line3>
        <id>%47</id>
        <label_anchor>(0.98202321853530483,0.18876016067369958)</label_anchor>
        <out_label>%48</out_label>
        <in_object>%17</in_object>
    </label_of_line3>
    <glabel>
        <id>%48</id>
        <gstate>defined</gstate>
        <font_style>italic</font_style>
        <font_point>20</font_point>
        <font_family>Euclid</font_family>
        <y>0.000</y>
        <x>0.000</x>
        <value>z</value>
        <label_color>black</label_color>
        <graphic_layers>default_layer</graphic_layers>
    </glabel>
    <label_of_line3>
        <id>%49</id>
        <label_anchor>(0.85431646696855601,0.51975318591266351)</label_anchor>
        <out_label>%50</out_label>
        <in_object>%24</in_object>
    </label_of_line3>
    <glabel>
        <id>%50</id>
        <gstate>defined</gstate>
        <font_style>italic</font_style>
        <font_point>20</font_point>
        <font_family>Euclid</font_family>
        <y>-1.028</y>
        <x>-0.216</x>
        <value>d</value>
        <label_color>black</label_color>
        <graphic_layers>default_layer</graphic_layers>
    </glabel>
</document>
