document.write( "Question 1210570: Let P_1 P_2 P_3 \dotsb P_{10} be a regular polygon inscribed in a circle with radius $1.$ Compute
\n" ); document.write( "P_1 P_2 + P_2 P_3 + P_3 P_4 + \dots + P_9 P_{10} + P_{10} P_1
\n" ); document.write( "

Algebra.Com's Answer #853692 by ikleyn(53617)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Let P_1 P_2 P_3 ... P_{10} be a regular polygon inscribed in a circle with radius 1. Compute
\n" ); document.write( "P_1 P_2 + P_2 P_3 + P_3 P_4 + . . . + P_9 P_{10} + P_{10} P_1
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If this sum \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        P_1 P_2 + P_2 P_3 + P_3 P_4 + . . . + P_9 P_{10} + P_{10} P_1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "is the sum of vectors, then this sum is equal to zero - as any sum of vectors along a closed contour.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );