Find the value of α so that the vectors a=(7,−10,5), b=(7,−5,−1), and c=(α,10,−40) are coplanar.
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Hint-Coplanar means "lying on the same plane". Points are coplanar, if they are all on the same plane, which is a two- dimensional surface. Any three points are coplanar (i.e there is some plane all three of them lie on), but with more than three points, there is the possibility that they are not coplanar.
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