document.write( "Question 146808: #6. We know that |[3,4]| = 5; how do we find a vector that points in the same direction and has length 1? \n" ); document.write( "

Algebra.Com's Answer #107215 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
You need to keep the same ratio of 3:4 so multiply both by a and set the length equal to 1.
\n" ); document.write( "[3a,4a]
\n" ); document.write( " $\"%283a%29%5E2%2B%284a%29%5E2=1\"$
\n" ); document.write( " $\"9a%5E2%2B16a%5E2=1\"$
\n" ); document.write( " $\"25a%5E2=1\"$
\n" ); document.write( " $\"a%5E2=1%2F25\"$
\n" ); document.write( " $\"a=1%2F5\"$
\n" ); document.write( "[3/5,4/5] has the same direction and now has a length of 1. \n" ); document.write( "

\n" );