document.write( "Question 995158: Two sides of a triangle are formed by the vector A=3i+6j-2k and vector B=4i-j+3k determine area of triangle \n" ); document.write( "
Algebra.Com's Answer #613979 by Alan3354(69443)\"\" \"About 
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Vectors/995158 (2015-10-08 06:10:24): Two sides of a triangle are formed by the vector A=3i+6j-2k and vector B=4i-j+3k determine area of triangle
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\n" ); document.write( "The magnitude of the cross product is the area of the parallelogram formed by A & B.
\n" ); document.write( "The triangle's area is 1/2 of that.
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\n" ); document.write( "Find AxB:
\n" ); document.write( "|i +j +k|
\n" ); document.write( "|3 +6 -2|
\n" ); document.write( "|4 -1 +3|
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\n" ); document.write( "--> i*(18-2) - j*(9+8) + k*(-3-24)
\n" ); document.write( "--> 16i - 17j - 27k
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\n" ); document.write( "Mag = sqrt(16^2 + 17^2 + 27^2) = sqrt(1274)
\n" ); document.write( "Area of triangle = \"sqrt%281274%29%2F2\"
\n" ); document.write( "=~ 17.847 sq units\r
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