document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203667>Question 1203667</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let u, v ∈ R^n be vectors in R^n<BR>\n" );
document.write( "(a) State and prove the Cauchy  -  Schwarz inequality. Give a necessary and sufficient<BR>\n" );
document.write( "condition on u, v ∈ R^n such that the equality holds.<BR>\n" );
document.write( "(b) State and prove the triangle inequality. Show that the equality holds if and only if u is a scalar multiple of v. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839414 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=839414\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "For (a), see the proof under this link\r<BR>\n" );
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document.write( "https://dept.math.lsa.umich.edu/~speyer/417/CauchySchwartz.pdf\r<BR>\n" );
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document.write( " </SPAN>\n" );
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