document.write( "Question 730194: Hello, I was wondering if I could have some help solving this question, thanks: \n" );
document.write( "The link to the diagram of the question is here: http://puu.sh/2nCh3\r \n" );
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document.write( "The shape in this question is a parallelepiped. \n" );
document.write( "1. Find the area of the parallelogram OAFE. \n" );
document.write( "for this i found the cross product to be: \n" );
document.write( " {4i + 3j - 15k} \n" );
document.write( "and so the area to be : {15.8u^2} \n" );
document.write( "however im not sure whether the vectors should of been {OA=3i} and {0E=0i+5J+1k} instead of {AO=-3i}. \n" );
document.write( "I also tried to see whether the vectors are perpendicular but found that the cross product of AO is -12 while for OE is 0. Shouldn't they both be zero to be perpindicular and if so have i done this wrong or are they not perpendicular.\r \n" );
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document.write( " 2.Find the area of triangle OAF. \n" );
document.write( "for this i know to use the rule {{1/2}*|a*b|} which would give the area OAF is {7.9u^2} but im not sure. \r \n" );
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document.write( "3. Find a unit vector that is perpendicular to the face OABC.\r \n" );
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document.write( "4. Find the volume of the parallelepiped. \n" );
document.write( "i know the rule is {|a|*|b|*|c|*sinx*cosx} and then you find the cross product and so the answer from question 1 is used {4i + 3j - 15k} . \n" );
document.write( "Is the dot product used for that resultant vector with the OC??\r \n" );
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document.write( "Thank you for having a look at the question and any help would be greatly appreciated! \n" );
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