document.write( "Question 1202476: What unit vector is in the same direction as v = 2i - 4j?\r
\n" ); document.write( "\n" ); document.write( "Show all work.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #837331 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "The unit vector is the given vector divided by the modulus, which is another name\r\n" );
document.write( "for the length of the vector.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The length of the given vector is  L = \"sqrt%282%5E2+%2B+%28-4%29%5E2%29\" = \"sqrt%284+%2B+16%29\" = \"sqrt%2820%29\" = \"2%2Asqrt%285%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Therefore, the unit vector in this problem is\r\n" );
document.write( "\r\n" );
document.write( "    \"v%5Bunit%5D\" = \"%281%2Fsqrt%285%29%29\"*i - \"%282%2Fsqrt%285%29%29\"*j,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "which is the same as\r\n" );
document.write( "\r\n" );
document.write( "    \"v%5Bunit%5D\" = \"sqrt%285%29%2F5\"*i - \"%282%2Asqrt%285%29%29%2F5\"*j.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );