document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118423>Question 118423</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I have several problems which I attempted. However, I dont understand why one is vector and the other scalar.\r<BR>\n" );
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document.write( "Use the vectos u=<2,2> and v=<-3,4> to find the indicated quantity. State whether the result is a vector or a scalar.\r<BR>\n" );
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document.write( "1) u X u <BR>\n" );
document.write( "2) (u X v)v  I got <-6,8> vector\r<BR>\n" );
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document.write( "The first one says that it is 2 sq.root 2 squared, which is 8, and scalar.<BR>\n" );
document.write( "Why? What is the difference? \r<BR>\n" );
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document.write( "Big thank you to who explains this. You people are amazing, and thank you for your time.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86569 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=86569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm not sure what you want to do here. Does the \"X\" mean dot product (it cannot be the cross product)?\r<BR>\n" );
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document.write( "Remember the dot product is defined as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \v{a}\bullet\v{b}=a_0*a_0+b_1*b_1\"> \r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \v{u}\bullet\v{u}\"> is...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \v{u}\bullet\v{u}=u_0*u_0+u_1*u_1\"> Use the definition of the dot product\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \v{u}\bullet\v{u}=2*2+2*2\"> Plug in the entries of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \v{u}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \v{u}\bullet\v{u}=4+4\"> Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \v{u}\bullet\v{u}=8\"> Add\r<BR>\n" );
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document.write( "Notice how the answer is a single value. So it is a scalar.\r<BR>\n" );
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document.write( "Now if you want to find the length of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \v{u}\">, simply take the square root of the answer to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE sqrt{8}=2sqrt{2}\">\r<BR>\n" );
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document.write( "But once again, I'm only assuming that's what you want since I don't know what the \"X\" stands for.\r<BR>\n" );
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document.write( "2)\r<BR>\n" );
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document.write( "Once again I don't know what the \"X\" stands for. So please let me know what this operator stands for. </SPAN>\n" );
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