Question: Determine whether the following sets of vectors form bases for two-dimensional space. If a set forms a basis, determine the coordinates of V = (8, 7) relative to this base.(adsbygoogle = window.adsbygoogle || []).push({});

a) V1 = (1, 2), V2 = (3, 5).

On the first part of the question, I'm a little foggy on how I go about doing it.. I think I have to figure out if they're collinear right? And if they're not, then they can be used to define any other vector in two-dimensional space... is that right?

And so, if that's the case (I believe that they are not collinear), then how do I determine the coordinates of V = (8, 7)? Is it simply a matter of determining the end point of V relative to the base of V1, and V2 with the tails together?

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# Two Vectors define 2D space

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