document.write( "Question 1073745: Given that m=3i + 2j,n=2i + 2j and p=3i - j,find the unit vector in the opposite direction of 4m+3n-2p \n" ); document.write( "

Algebra.Com's Answer #688527 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
So first find X=4m+3n-2p.
\n" ); document.write( "X=4*(3,2)+3(2,2)-2(3,-1)=(12,8)+(6,6)-(6,-2)=(12+6-6,8+6-(-2))=(12,8+6+2)=(12,16)
\n" ); document.write( "So the opposite direction would just negate the coordinates
\n" ); document.write( "Y=-X=(-12,-16)
\n" ); document.write( "So to make it a unit vector divide by the magnitude,
\n" ); document.write( " $\"M=sqrt%2812%5E2%2B16%5E2%29=sqrt%28144%2B256%29=sqrt%28400%29=20\"$
\n" ); document.write( "Y=(-12/20,-16/20)
\n" ); document.write( "Y=(-3/5,-4/5)\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );