document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972955>Question 972955</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, i have this problem\r<BR>\n" );
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document.write( "Find a*b\r<BR>\n" );
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document.write( "a = 2i-j , b = j-3k\r<BR>\n" );
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document.write( "I've tried this so far: 2i-j*j-3k = 2i-3k-j<BR>\n" );
document.write( "I feel like this is so wrong.\r<BR>\n" );
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document.write( "I'd appreciate an explanation on how to handle vectors with an \"i\", \"j\", \"k\" etc behind them. Also, what are these called? <BR>\n" );
document.write( "Thanks\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 #595201 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=595201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Find \r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+2i-j ALIGN=MIDDLE  ALT=\"a+=+2i-j\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+j-3k ALIGN=MIDDLE  ALT=\"b+=+j-3k\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ab=%282i-j%29%28+j-3k%29 ALIGN=MIDDLE  ALT=\"a%2Ab=%282i-j%29%28+j-3k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "recall the rule for multiplication of  binomials:\r<BR>\n" );
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document.write( "1. multiply each term in one binomial by each term in the other binomial<BR>\n" );
document.write( "2. add those answers together, and simplify if needed<BR>\n" );
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document.write( "so, you have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ab=%282i-j%29%28+j-3k%29 ALIGN=MIDDLE  ALT=\"a%2Ab=%282i-j%29%28+j-3k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ab=+2i%2Aj-2i%2A3k-j%2Aj-j%2A%28-3k%29 ALIGN=MIDDLE  ALT=\"a%2Ab=+2i%2Aj-2i%2A3k-j%2Aj-j%2A%28-3k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ab=+2ij-6ik-j%5E2%2B3jk ALIGN=MIDDLE  ALT=\"a%2Ab=+2ij-6ik-j%5E2%2B3jk\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );