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        <p>   account aspect ratio
as scaling XY directions</p>
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        <p>-------------------------------------------------------------------------------------------------------</p>
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      <writer lang="eng"><![CDATA[<span style="font-family: 'Arial'; font-size: 10pt; font-weight: normal; font-style: normal; color: Blue; background-color: Transparent; vertical-align: baseline; text-align: left; margin-left: 0pt; text-indent: 0pt; line-height: 115%">
<div><span style="color: Blue">Example: To check Length of a </span><strong><span style="color: Red">vector</span></strong><span style="color: Blue">: j varies from 1 to 5</span></div></span>]]></writer>
    </region>
    <region id="14" left="432" top="1512" width="258" height="26" color="#000000" bgColor="#ffffff">
      <writer lang="eng"><![CDATA[<span style="font-family: 'Arial'; font-size: 10pt; font-weight: normal; font-style: normal; color: Blue; background-color: Transparent; vertical-align: baseline; text-align: left; margin-left: 0pt; text-indent: 0pt; line-height: 115%">
<div>Program: To check Lengths of <strong><span style="color: Red">all vectors</span></strong></div></span>]]></writer>
    </region>
    <region id="15" left="18" top="1548" width="46" height="24" color="#000000" bgColor="#ffff00" fontSize="10">
      <math>
        <input>
          <e type="operand">j</e>
          <e type="operand">5</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="16" left="432" top="1548" width="375" height="262" border="true" color="#000000" bgColor="#ffffb7" fontSize="10">
      <math>
        <description active="true" position="Top" lang="eng">
          <p>Check Lengths of All Vectors from derived cordinates</p>
        </description>
        <input>
          <e type="operand">M</e>
          <e type="function" args="1">VL</e>
          <e type="operand">M</e>
          <e type="operand">M</e>
          <e type="function" args="1">sys2mat</e>
          <e type="operator" args="2">:</e>
          <e type="operand">j</e>
          <e type="operand">1</e>
          <e type="operand">M</e>
          <e type="function" args="1">rows</e>
          <e type="function" args="2">range</e>
          <e type="operand">x1</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">M</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="bracket">(</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">:</e>
          <e type="operand">x2</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">M</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="bracket">(</e>
          <e type="operand">5</e>
          <e type="operand">1</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">:</e>
          <e type="operand">y1</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">M</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="bracket">(</e>
          <e type="operand">4</e>
          <e type="operand">2</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">:</e>
          <e type="operand">y2</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">M</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="bracket">(</e>
          <e type="operand">5</e>
          <e type="operand">2</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">:</e>
          <e type="operand">vl</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">x1</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">x2</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operand">y1</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">y2</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="1">sqrt</e>
          <e type="operator" args="2">:</e>
          <e type="operand">5</e>
          <e type="operand">1</e>
          <e type="function" args="7">line</e>
          <e type="function" args="3">for</e>
          <e type="operand">vl</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" args="5">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="17" left="18" top="1584" width="270" height="153" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">AA</e>
          <e type="operand">Arrow_Both</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operator" args="2">:</e>
        </input>
        <result action="numeric">
          <e type="operand">18</e>
          <e type="operand">2</e>
          <e type="operand">17.47</e>
          <e type="operand">3.42</e>
          <e type="operand">17.03</e>
          <e type="operand">3.17</e>
          <e type="operand">18</e>
          <e type="operand">2</e>
          <e type="operand">11.75</e>
          <e type="operand">12.83</e>
          <e type="operand">12.28</e>
          <e type="operand">11.4</e>
          <e type="operand">12.72</e>
          <e type="operand">11.65</e>
          <e type="operand">11.75</e>
          <e type="operand">12.83</e>
          <e type="operand">8</e>
          <e type="operand">2</e>
          <e type="function" args="18">mat</e>
        </result>
      </math>
    </region>
    <region id="18" left="18" top="1782" width="94" height="117" color="#000000" bgColor="#ffffb3" fontSize="10">
      <math>
        <input>
          <e type="operand">x1</e>
          <e type="operand">AA</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">:</e>
          <e type="operand">x2</e>
          <e type="operand">AA</e>
          <e type="operand">5</e>
          <e type="operand">1</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">:</e>
          <e type="operand">y1</e>
          <e type="operand">AA</e>
          <e type="operand">4</e>
          <e type="operand">2</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">:</e>
          <e type="operand">y2</e>
          <e type="operand">AA</e>
          <e type="operand">5</e>
          <e type="operand">2</e>
          <e type="function" args="3">el</e>
          <e type="operator" args="2">:</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">line</e>
        </input>
      </math>
    </region>
    <region id="19" left="432" top="1881" width="200" height="99" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">Arrow_Both</e>
          <e type="function" args="1">VL</e>
        </input>
        <result action="numeric">
          <e type="operand">30</e>
          <e type="operand">5</e>
          <e type="operand">10</e>
          <e type="operand">12</e>
          <e type="operand">12.5</e>
          <e type="operand">5</e>
          <e type="operand">1</e>
          <e type="function" args="7">mat</e>
        </result>
      </math>
    </region>
    <region id="20" left="18" top="1917" width="244" height="37" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">x1</e>
          <e type="operand">x2</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operand">y1</e>
          <e type="operand">y2</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="1">sqrt</e>
        </input>
        <result action="numeric">
          <e type="operand">12.5</e>
        </result>
      </math>
    </region>
    <region id="21" left="360" top="2637" width="246" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">Arrow_Both</e>
          <e type="function" args="1">sys2mat</e>
          <e type="function" args="1">rows</e>
        </input>
        <result action="numeric">
          <e type="operand">5</e>
        </result>
      </math>
    </region>
  </regions>
</worksheet>