document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=921219>Question 921219</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given a=2i-j+2k and b=i+3j-2k, find<BR>\n" );
document.write( "a) the cosine of the angle between the two vectors<BR>\n" );
document.write( "b) |axb| </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #558912 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=558912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large a \cdot b = 2 \times 1 + (-1) \times 3 + 2 \times (-2) = -5\">\r<BR>\n" );
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document.write( "Also, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large a \cdot b = |a| |b| \cos \theta\"> where theta is the angle in between vectors a and b.\r<BR>\n" );
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document.write( "Find the magnitude of a and b, solve for theta and you're done.\r<BR>\n" );
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document.write( "Then use the fact that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large |a \times b| = |a||b| \sin \theta\"> and find <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large |\sin \theta|\">. </SPAN>\n" );
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