document.write( "Question 364496: Evening All, Stuck on this vectors problem.\r
\n" ); document.write( "\n" ); document.write( "a) In cartesian coordinates, the vector a has cartesian components (4,-2,3) and the vector b cartesian components (-2,3,1). Express a nd b in terms of the unit vectors i, j and k.
\n" ); document.write( "Find ¦a¦, ¦b¦, a, b and 3a-2b\r
\n" ); document.write( "\n" ); document.write( "b) Given a=6i+2j+k and b= -i-4j+2k, express a and b in terms of Cartesian components. Find ¦a¦, b¦, a, b and 2a+b\r
\n" ); document.write( "\n" ); document.write( "Thank you for your time
\n" ); document.write( "

Algebra.Com's Answer #259908 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"a\"=(\"4\",\"-2\",\"3\")
\n" ); document.write( "\"b\"=(\"-2\",\"3\",\"1\")
\n" ); document.write( "\"a=4i-2j%2B3k\"
\n" ); document.write( "\"b=-2i%2B3j%2Bk\"
\n" ); document.write( "\"abs%28a%29=sqrt%284%5E2%2B%28-2%29%5E2%2B3%5E2%29=sqrt%2816%2B4%2B9%29\"
\n" ); document.write( "\"abs%28b%29=sqrt%28%28-2%29%5E2%2B3%5E2%2B1%5E2%29=sqrt%284%2B9%2B1%29\"
\n" ); document.write( "\"3a-2b\"=(\"3%284%29-2%28-2%29\",\"3%28-2%29-2%283%29\",\"3%283%29-2%281%29\")
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "b)
\n" ); document.write( "\"a=6i%2B2j%2Bk\"
\n" ); document.write( "\"b=+-i-4j%2B2k\"
\n" ); document.write( "\"a\"=(\"6\",\"2\",\"1\")
\n" ); document.write( "\"b\"=(\"-1\",\"-4\",\"2\")
\n" ); document.write( "\"abs%28a%29=sqrt%286%5E2%2B2%5E2%2B1%5E2%29=sqrt%2836%2B4%2B1%29\"
\n" ); document.write( "\"abs%28b%29=sqrt%28%28-1%29%5E2%2B%28-4%29%5E2%2B2%5E2%29=sqrt%281%2B16%2B4%29\"
\n" ); document.write( "\"2a%2Bb\"=(\"2%286%29%2B%28-1%29\",\"2%282%29%2B%28-4%29\",\"2%281%29%2B2\")\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );