document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=217161>Question 217161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the cross product of the vectors {2,-1,4} and {6,-2,1}.is the resulting vector perpendicular to the given vector? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163786 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=163786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  find the cross product of the vectors {2,-1,4} and {6,-2,1}.is the resulting vector perpendicular to the given vector?<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "|i j k|<BR>\n" );
document.write( "|2-1 4|<BR>\n" );
document.write( "|6-2 1|<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "= i(-1+8)-j(2-24)+k(-4+6)<BR>\n" );
document.write( "= 7i + 22j + 2k<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Yes, it's perpendicular to both vectors.  It's normal to the plane formed by the 2 vectors.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );