document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1070006>Question 1070006</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the magnitude of the vector <-6, 4>.  Write your answer in simplified radical form. Appreciate an step by step solution or a link to a vector calculator. Thank you.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #685101 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=685101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The magnitude of a vector with components and x and y is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2+%2B+y%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2+%2B+y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > So the magnitude of vector <-6,4> is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28-6%29%5E2+%2B+4%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28-6%29%5E2+%2B+4%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2836+%2B+16%29 ALIGN=MIDDLE  ALT=\"sqrt%2836+%2B+16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2852%29 ALIGN=MIDDLE  ALT=\"sqrt%2852%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%2A13%29 ALIGN=MIDDLE  ALT=\"sqrt%284%2A13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%29+%2A+sqrt%2813%29 ALIGN=MIDDLE  ALT=\"sqrt%284%29+%2A+sqrt%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282%2Asqrt%2813%29%29 ALIGN=MIDDLE  ALT=\"highlight%282%2Asqrt%2813%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Note, that if you start at the point (0,0) and go out to the point (-6,4), that is equivalent to the vector <-6,4> (provided that the line you drew continued out to infinity). But anyway, if you were then to draw a triangle and measured the hypotenuse (i.e. the distance from (0,0) to (-6,4)), that is the concept of the magnitude. It's just a variation of the pythagorean theorem / distance formula. </SPAN>\n" );
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