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

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Definitions:

Expression

A combination of symbols and numbers that represent a mathematical operation or relation.

Difference

The result of subtracting one number from another, or the operation of subtraction itself.

Polynomials

Algebraic expressions that consist of variables and coefficients, combined using only addition, subtraction, multiplication, and non-negative integer exponents.

A commonly used variable or symbol to represent an unknown value in mathematics and algebra.