document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=317065>Question 317065</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi all,\r<BR>\n" );
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document.write( "I was hoping someone would show me how to Find the scalar products of the vectors:  a = i - j + 3k and b = -i + 2j + k\r<BR>\n" );
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document.write( "What can be said about the position of these vectors relative to eachother?\r<BR>\n" );
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document.write( "How can I determine a + b?\r<BR>\n" );
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document.write( "Some help with relavant steps and explanations would be great.\r<BR>\n" );
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document.write( "-Nick. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #227010 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=227010\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a=(1,-1,3)<BR>\n" );
document.write( "b=(-1,2,1)<BR>\n" );
document.write( "a.b=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%28-1%29%2B%28-1%29%282%29%2B3%281%29=-1-2%2B3=0 ALIGN=MIDDLE  ALT=\"1%28-1%29%2B%28-1%29%282%29%2B3%281%29=-1-2%2B3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the dot product is zero, the vectors are perpendicular to each other.<BR>\n" );
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document.write( "Add the vectors component by component.<BR>\n" );
document.write( "a+b=(1,-1,3)+(-1,2,1)=(1-1,-1+2,3+1)=(0,1,4)<BR>\n" );
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