document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204880>Question 204880</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi all, I am having some trouble with vectors at the moment, I was hoping someone could show me how to do the following problems correctly.<BR>\n" );
document.write( "a) Find the distance between (2, -3, 1) and (-1, 0, -3)<BR>\n" );
document.write( "b) Find the maginitude of the vector ~w = 2~i - ~j + 4~k. (The ~ symbols represent an arrow above the values in the positive direction, I didnt know how to express this properly)<BR>\n" );
document.write( "Any help would be great, <BR>\n" );
document.write( "Thanks, -Nick. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154630 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=154630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) Find the distance between (2, -3, 1) and (-1, 0, -3)<BR>\n" );
document.write( "It's the sqrt of the sum of the squares of the differences, dx, dy and dz<BR>\n" );
document.write( "d^2 = 3^2 + 3^2 + 4^2 = 9+9+16<BR>\n" );
document.write( "d^2 = 34<BR>\n" );
document.write( "d = sqrt(34)<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "b) Find the maginitude of the vector ~w = 2~i - ~j + 4~k. (The ~ symbols represent an arrow above the values in the positive direction, I didnt know how to express this properly)<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Mag = the sqrt of the sum of the squares.<BR>\n" );
document.write( "r = sqrt(4 + 1 + 16)<BR>\n" );
document.write( "r = sqrt(21)<BR>\n" );
document.write( "r is the distance from the Origin to the endpoint of the vector. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );