document.write( "Question 1093419: p=<3,5>;q=<2,4>
\n" ); document.write( "Find the angle between the vectors to the nearest tenth of a degree.
\n" ); document.write( "Select one:
\n" ); document.write( " a. 4.4°
\n" ); document.write( " b. 64.6°
\n" ); document.write( " c. 5.4°
\n" ); document.write( " d. 63.4°
\n" ); document.write( "

Algebra.Com's Answer #708060 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Use the dot product because,
\n" ); document.write( "\"p%2Aq=abs%28p%29abs%28q%29cos%28theta%29\"
\n" ); document.write( "and given,
\n" ); document.write( "\"abs%28p%29=sqrt%283%5E2%2B5%5E2%29=sqrt%289%2B25%29=sqrt%2834%29\"
\n" ); document.write( "\"abs%28w%29=sqrt%282%5E2%2B4%5E2%29=sqrt%284%2B16%29=sqrt%2820%29\"
\n" ); document.write( "\"p%2Aq=3%2A2%2B5%2A4=6%2B20=26\"
\n" ); document.write( "So substituting,
\n" ); document.write( "\"26=sqrt%2834%29sqrt%2820%29cos%28theta%29\"
\n" ); document.write( "\"cos%28theta%29=26%2Fsqrt%28680%29\"
\n" ); document.write( "Solve for \"theta\".\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );