document.write( "Question 15524: Find a vector x with ||x||=2 that has the same direction as the vector defined by the points A(3,2,1) and B(1,-1,0).
\n" ); document.write( "The opposite direction? \n" ); document.write( "

Algebra.Com's Answer #7710 by venugopalramana(3286) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find a vector x with ||x||=2 that has the same direction as the vector defined by the points A(3,2,1) and B(1,-1,0).
\n" ); document.write( "The opposite direction?
\n" ); document.write( " direction of ab = i(1-3)+j(-1-2)+k(0-1) = -2i-3j-k
\n" ); document.write( " vector x has sime direction .Hence vector|x|= s*(-2i-3j-k) where s is a scalar to be found ||x|| = s*||(-2i-3j-k)||=s* $\"sqrt%28%28-2%29%5E2%2B%28-3%29%5E2%2B%28-1%29%5E2%29\"$
\n" ); document.write( " s* $\"sqrt%284%2B9%2B1%29\"$ =s* $\"sqrt14\"$ = 2...given
\n" ); document.write( " Hence s = (2/* $\"sqrt14\"$ )
\n" ); document.write( "vector |x| = (2/* $\"sqrt14\"$ )*(-2i-3j-k) ....answer\r
\n" ); document.write( "\n" ); document.write( "if the direction is opposite then vector |x| = (2/* $\"sqrt14\"$ )*(2i+3j+k)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );