anonymous
  • anonymous
Determine a and b so that the vectors < 1,3a+b,2 > and < 2,−1,a+ b > are parallel.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
would i set up 3a+b=-1
anonymous
  • anonymous
if they're parallel one should be a scalar multiple of the other. as such the second should be double the first. set up the equations in that way
anonymous
  • anonymous
3a+b=-(1/2) a+b = 4

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anonymous
  • anonymous
where did you get the <-1/2> from
anonymous
  • anonymous
the econd vector should be double the first
anonymous
  • anonymous
i was thinking more along the lines of <1,3a+b,2>=S<2,-1,a+b>
anonymous
  • anonymous
let u = <1, 3a+b, 2> and 2u = <2, 6a+2b, 4>, right? v= <2, -1, a+b> and if v = 2u then 6a+2b=-1 => 3a+b = -(1/2) a+b = 4
anonymous
  • anonymous
ok i understand that but arent they looking for a +b individually or it doesnt matter
anonymous
  • anonymous
yes and you have a system of 2 equations in 2 unknowns... solve using whatever method you prefer.
anonymous
  • anonymous
okay thx
anonymous
  • anonymous
you're welcome... does it all make sense now?
anonymous
  • anonymous
yea
anonymous
  • anonymous
cool!

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