document.write( "Question 1202643: given that a=2i+3j-k, b=i-j+2k, and c=3i+4j+k, find (a) a+2b-c, (b) a vector d such that a+b+c+d=0, and (c) a vector d such that a-b+c+3d=0 \n" ); document.write( "

Algebra.Com's Answer #837618 by Alan3354(69443) $\"\"$ $\"About$

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given that a=2i+3j-k, b=i-j+2k, and c=3i+4j+k,
\n" ); document.write( "find a+2b-c
\n" ); document.write( "----
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\r\n" );
document.write( " 2i + 6j - 1k ---- a\r\n" );
document.write( " 2i - 2j + 4k ---- 2b\r\n" );
document.write( "-3i - 4j - 1k ---- -c\r\n" );
document.write( "-------------------------- Add\r\n" );
document.write( " 1i + 0j + 2k\r\n" );
document.write( "= i + 2k\r\n" );
document.write( "=======================\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "(b) a vector d such that a+b+c+d=0
\n" ); document.write( "Add a, b and c
\n" ); document.write( "d = -1 * the sum
\n" ); document.write( "=============================
\n" ); document.write( "and (c) a vector d such that a-b+c+3d=0
\n" ); document.write( "Add a, -b and c
\n" ); document.write( "d = (-1/3) time the sum \n" ); document.write( "

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