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Let A, B and C be points in three-dimensional space with position vectors a, b and c respectively. Given that A, B and C are

Let A, B and C be points in three-dimensional space with position vectors a, b and c respectively. Given that A, B and C are not collinear, prove that the plane ABC can be represented by the vector equation r=xa+yb+zc, where x+y+z=1

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