Exercise Showthat if y= (y1, y2, y3) is any linear combination of thevectors in A0, then y3=0

Hence A0 fails to span all of ℝ3.

The hyperplane in ℝn thatpasses through the point a= (a1,…,an) and is orthogonal to the nonzerovector p=(p1,…,pn), is the set of all points x=(x1,…,xn) such that

p⋅ (x−a)=0

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