# Vector Problem - is this even solvable?

by The_Chromer
Tags: algebra, physics, vector
 P: 15 1. The problem statement, all variables and given/known data 2. Relevant equations I'm considering cross product and dot product rules, yet I don't know where to begin with this one. 3. The attempt at a solution I have two pages of scratch paper that is littered with failed attempts to solve the problem. -There are no values for a or b given. -Is there even enough information to solve these problems?
 PF Gold P: 346 this is basically a set of 2X2 simultaneous equation, which you can do by seperating the two components of each vector
 Emeritus Sci Advisor HW Helper Thanks PF Gold P: 6,727 Hint: a and b are constants which multiply the vectors A and B, respectively. There is no implied dot or cross product in the problem statement as shown.
 P: 15 Vector Problem - is this even solvable? I think I'm on the right track... thanks guys. Can you confirm if this is heading in the correct direction? a<81,-73>+b<-79,49>+<60,85>=<0,0> So, 81a-79b+60=0 -73a+49b+85=0 ?
 PF Gold P: 346 yup :)
 P: 15 These numbers are ugly... mind sticking around until I work it out? :)
 P: 15 Still haven't figured it out :/
 PF Gold P: 346 do you have to solve it by hand? or are you allowed to use calculators/computers?
 P: 15 Even if I solve it, I still think there's something going wrong... I'll use a computer. I just tried doing it with matrices, lol.
 PF Gold P: 346 you can always substitute your answers back into the question and see if the identity holds, faster and simpler than rechecking all your steps
 P: 15 You're right - I have new values for a and b a=5.520297 b=6.489422 Pretty sure I got it! Thank you for your help!
 PF Gold P: 346 glad to help :)
 P: 15 It was correct - my online homework thing accepted it, lol. The algebra was just a little ambiguous.

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