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Find the Barycentric Coordinates of P with Respect to the Affinely

question 42

Multiple Choice

Find the barycentric coordinates of p with respect to the affinely independent set of points that precedes it.
-Which of the following statements are true if p\mathbf { p } is a point on the line through a\mathbf { a } and b\mathbf { b } ?
I: p\mathbf { p } is an affine combination a\mathbf { a } and b\mathbf { b } .
II: a~,b~\widetilde { \mathbf { a } } , \widetilde { \mathbf { b } } , and p~\tilde { \mathbf { p } } are linearly independent. of  [a b p] is 0\text { [a b p] is } 0 \text {. }
III: The determinant of  Find the barycentric coordinates of p with respect to the affinely independent set of points that precedes it. -Which of the following statements are true if  \mathbf { p }  is a point on the line through  \mathbf { a }  and  \mathbf { b }  ? I:  \mathbf { p }  is an affine combination  \mathbf { a }  and  \mathbf { b } . II:  \widetilde { \mathbf { a } } , \widetilde { \mathbf { b } } , and  \tilde { \mathbf { p } }  are linearly independent. of  \text { [a b p] is } 0 \text {. }  III: The determinant of   is 0 .  A)  I and II B)  I and III C)  II D)  None are true.  is 0 .


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