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Quick question, not really homework but more of a general inquiry. Take three vectors: a,b and c such that a and c are orthogonal. Is it possible to write c as a linear combination of a and b such that:

c = ma + nb where m,n are scalars.

I was thinking not at first glance but reading around has made me think twice.

Is it possible?

Thanks

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# Writing orthogonal vectors as linear combinations

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