document.write( "Question 874973: Given the following vectors:\r
\n" ); document.write( "\n" ); document.write( "b = -3i + 4j
\n" ); document.write( "c = i - 2j
\n" ); document.write( "e = -2j + k\r
\n" ); document.write( "\n" ); document.write( "Calculate (b + c) x e.\r
\n" ); document.write( "\n" ); document.write( "I've attempted this problem many times and I keep getting the answer 2i + 2j + 4k. The provided solution is 2i + 4k or (2, 0, 4).....\r
\n" ); document.write( "\n" ); document.write( "This is my working out..\r
\n" ); document.write( "\n" ); document.write( "b + c = (-3 + 1)i + (4 - 2)j = -2i + 2j\r
\n" ); document.write( "\n" ); document.write( "(b + c) x e = [(2*1)-(0*-2)]i - [(-2*1)-(0*0)]j + [(-2*-2)-(2*0)]k\r
\n" ); document.write( "\n" ); document.write( "= 2i + 2j + 4k\r
\n" ); document.write( "\n" ); document.write( "Please explain to me where I've gone wrong. Thank you in advance.
\n" ); document.write( "

Algebra.Com's Answer #527854 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Given the following vectors:\r
\n" ); document.write( "\n" ); document.write( "b = -3i + 4j
\n" ); document.write( "c = i - 2j
\n" ); document.write( "e = -2j + k
\n" ); document.write( "Calculate (b + c) x e.\r
\n" ); document.write( "\n" ); document.write( "I've attempted this problem many times and I keep getting the answer 2i + 2j + 4k. The provided solution is 2i + 4k or (2, 0, 4).....\r
\n" ); document.write( "\n" ); document.write( "b + c = (-3 + 1)i + (4 - 2)j = -2i + 2j
\n" ); document.write( "(b + c) x e = [(2*1)-(0*-2)]i - [(-2*1)-(0*0)]j + [(-2*-2)-(2*0)]k\r
\n" ); document.write( "\n" ); document.write( "= 2i + 2j + 4k
\n" ); document.write( "Your answer is correct.
\n" ); document.write( "
\n" );