document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=366114>Question 366114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evening Everybody<BR>\n" );
document.write( "     Stuck on this question. (trying to get back in to the swing of things so i can enrol on a course)\r<BR>\n" );
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document.write( "i) Given that F.r is the work done by a force F in moving a body through displacement r. Find the work done by the force F= 3i+7k. if it causes a body to move from the point A with coordinates (1,1,2) to the point B with coordinates (7,3,5)\r<BR>\n" );
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document.write( "ii) Obtain unit vectors in each of the directions of f=i+j+3k and s=2i-j+k. Hence show that 48/sqrt66 joules is the work done when a force of magnitude 6 newtons in the direction f moves its point of application a distance 2 metres parallel to s .\r<BR>\n" );
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document.write( "Really appreciate help on this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #260939 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=260939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" >=(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >)-(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)=(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28f%29=sqrt%281%5E2%2B1%5E2%2B3%5E2%29=sqrt%2811%29 ALIGN=MIDDLE  ALT=\"abs%28f%29=sqrt%281%5E2%2B1%5E2%2B3%5E2%29=sqrt%2811%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28s%29=sqrt%282%5E2%2B%28-1%29%5E2%2B1%5E2%29=sqrt%286%29 ALIGN=MIDDLE  ALT=\"abs%28s%29=sqrt%282%5E2%2B%28-1%29%5E2%2B1%5E2%29=sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U%5Bs%5D ALIGN=MIDDLE  ALT=\"U%5Bs%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >=(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fsqrt%286%29 ALIGN=MIDDLE  ALT=\"2%2Fsqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2Fsqrt%286%29 ALIGN=MIDDLE  ALT=\"-1%2Fsqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsqrt%286%29 ALIGN=MIDDLE  ALT=\"1%2Fsqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U%5Bs%5D ALIGN=MIDDLE  ALT=\"U%5Bs%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >=(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%29%2F3 ALIGN=MIDDLE  ALT=\"sqrt%286%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%286%29%2F6 ALIGN=MIDDLE  ALT=\"-sqrt%286%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%29%2F6 ALIGN=MIDDLE  ALT=\"sqrt%286%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=6U%5Bf%5D%2A2U%5Bs%5D=12%28U%5Bf%5D%2AU%5Bs%5D%29 ALIGN=MIDDLE  ALT=\"W=6U%5Bf%5D%2A2U%5Bs%5D=12%28U%5Bf%5D%2AU%5Bs%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=6U%5Bs%5D%2A2U%5Bs%5D=12%28%28sqrt%2811%29%2F11%29%28sqrt%286%29%2F3%29-%28sqrt%2811%29%2F11%29%28sqrt%286%29%2F6%29%2B%28%283sqrt%2811%29%29%2F11%29%28sqrt%286%29%2F6%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=6U%5Bs%5D%2A2U%5Bs%5D=12%28%28sqrt%2866%29%2F33%29-%28sqrt%2866%29%2F66%29%2B%28%283sqrt%2866%29%29%2F66%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=6U%5Bs%5D%2A2U%5Bs%5D=12%28%28%282sqrt%2866%29%2F66%29%29-%28sqrt%2866%29%2F66%29%2B%28%283sqrt%2866%29%29%2F66%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=6U%5Bs%5D%2A2U%5Bs%5D=%2848sqrt%2866%29%29%2F66%29%29 ALIGN=MIDDLE  ALT=\"W=6U%5Bs%5D%2A2U%5Bs%5D=%2848sqrt%2866%29%29%2F66%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2Fsqrt%2866%29 ALIGN=MIDDLE  ALT=\"48%2Fsqrt%2866%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );