We are planning to add new Sec on Linear Algebra.

Author: mlamich1

linear-algebra/source/future-ON/01.ptx

@@ -159,8 +159,22 @@ The dot product combines two vectors and creates a scalar that gives us geometri
 <task><p>Describe all vectors <m>\vec w</m> that are orthogonal to <m>\vec u</m>.</p></task>
 <task><p>Find the angle between <m>\vec u</m> and <m>\vec v</m>.</p></task>
     </activity>
+
+
+    <activity estimated-time="11">
+        <introduction>
+        <p>Consider two vectors <m>\vec u =\left[\begin{array}{c} 1 \\ 3 \\ 4 \\ -4 \end{array}\right]</m> and <m>\vec v = \left[\begin{array}{c} -1 \\ -3 \\ -4 \\ 4 \end{array}\right]</m>.</p>
+        </introduction>
+    <task><p>Use dot product to determine  <m>||\vec u||</m> and  <m> ||\vec v||</m>.</p></task>
+    <task><p> Using dot product, find the distance between <m>\vec u</m> and  <m>\vec v </m>.</p></task>
+    <task><p>Find the angle between <m>\vec u</m> and <m>\vec v</m>.</p></task>
+        </activity>
+
     </subsection>
     <subsection>
+
+        
+
         <title>Videos</title>
 <!--    <figure>
 		<video xml:id="video-E3" href="https://southalabama.hosted.panopto.com/Panopto/Podcast/Social/1792c805-8df0-4b5c-a624-ac1901421d9d.mp4?mediaTargetType=videoPodcast">