anonymous
  • anonymous
Consider the following triple of vectors:? Consider the following triple of vectors: u = [4,3,1], v = [1,5,5], w = [-4,-1,-5]. What is the volume of the parallelopiped having u, v and w as edges?
Mathematics
jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
volume can be determined by ..... ugh, just read this somewheres
amistre64
  • amistre64
the determinant of the associated column matrix
amistre64
  • amistre64
\[det.of:\begin{pmatrix}4&1&-4\\3&5&-1\\1&5&-5\end{pmatrix}\]

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amistre64
  • amistre64
4(-25-(-5)) -3(-5-(-20)) +1(-1-(-20)) 4(-25+5) = 4(-20) = -80 -3(-5+20) = -3(15) = -45 +1(-1+20) = +1(19) = +19 ------ volume if i kept the math straight that is
amistre64
  • amistre64
and if it goes negative just strip the sign away and its all good

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