(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose thatA,BandCare not linearly independent. Then show how the [itex]a_i[/itex] can be computed, up to a common factor, from the scalar products of these vectors with each other

2. Relevant equations

[itex]a_1[/itex]A+ [itex]a_2[/itex]B+ [itex]a_3[/itex]C= 0

[itex]a_1[/itex]=[itex]a_2[/itex]=[itex]a_3[/itex]=0

Hint - Suppose that there are non-zero values of the [itex]a_i[/itex]'s that satisfy

[itex]a_1[/itex]A+ [itex]a_2[/itex]B+ [itex]a_3[/itex]C= 0. Then, taking the dot product of both sides of this equation withAwill yield a set of equations that can be solved for the [itex]a_i[/itex]'s

3. The attempt at a solution

[itex]a_1[/itex]AA+ [itex]a_2[/itex]BA+ [itex]a_3[/itex]CA=0

no idea where to go from here, I took the dot product of both sides but confused from the wording of the question what my next step should be, or If I did my dot product right

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# Homework Help: Linear Independence of vectors question

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