document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=733666>Question 733666</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)u×u>=0 and u×u=0 if and only if u=0 prove theorem?<BR>\n" );
document.write( "2)Show that there are no vectors u and v such that ||u||=1 ||v||=2 and u×v=3?<BR>\n" );
document.write( "3)prove that u is orthogonal to v-PROJu(v) for all vectors u and v in Rn,where u(no=)0 ?<BR>\n" );
document.write( "4)find the point R on L that is closest to Q in exercises 27.<BR>\n" );
document.write( "(27) Q=(2,2),L with equation [X y]=[-1 2]+t[1 -1] ?<BR>\n" );
document.write( "5)prove the Following properties of the cross product<BR>\n" );
document.write( "a)u×(v×w)=(U×V)×w<BR>\n" );
document.write( "B) U×(v×w)=(u×w)v-(u×v)w<BR>\n" );
document.write( "C)||U×V||2=||U||2||V||2-(U×V)2<BR>\n" );
document.write( "6)Let u and v be vectors in R3 and let @ be the angle between u and v.<BR>\n" );
document.write( "A) prove that ||U×V||=||u|| ||v||sin@<BR>\n" );
document.write( "B)prove that the area A of the triangle determined by u and v is givien by A=1/2||u×v||<BR>\n" );
document.write( "C)use the result in parr (b) to compute the area of the traingle With vertices A=(1,2,1),B=(2,1,0) and C=(5,-1,3) ?<BR>\n" );
document.write( "7)find the check digit d in the given International standard book number(isbn-10)<BR>\n" );
document.write( "(0,3,8,7,9,7,9,9,3,d)<BR>\n" );
document.write( "8)a) prove that if a transposition error is made in the fourth and fifth entries of the ISBN-10(0,6,7,9,7,6,2,9,0,6) the error will be detected. <BR>\n" );
document.write( "B) prove that if a transposition error is made in any two adjacent entries of the  ISBN-10in part(a) the error will be detected <BR>\n" );
document.write( "C) prove, in general, that the ISBN-10 code will Always detect a transposition erroe involving two adjacent entries. ??<BR>\n" );
document.write( "Please help me  </SPAN>\n" );
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