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The 2-Manifold M in R4 given by the Equations

Question 62

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The 2-manifold M in R4 given by the equations The 2-manifold M in R<sup>4 </sup>given by the equations 0 < x<sub>4</sub> < 1, 0 < < 1 has normals It is oriented by the 2-form ω(x) ( v<sub>1</sub> , v<sub>2</sub> ) = det( n<sub>1</sub> n<sub>2</sub> v<sub>1</sub> v<sub>2</sub> ) . Let be a parametrization for M. Which of the following statements is true? A) P is orientation preserving for M. B) P does not determine an orientation for M. C) P is orientation reversing for M, but no orientation preserving parametrization for M exists. D) P is orientation reversing for M, but q(u) = ( , 5 , , -2 ) would be orientation preserving parametrization for M. E) P is orientation reversing for M, but q(u) = (- , 5 , , 2 ) would be an orientation-preserving parametrization for M. 0 < x4 < 1,
0 < < 1 has normals The 2-manifold M in R<sup>4 </sup>given by the equations 0 < x<sub>4</sub> < 1, 0 < < 1 has normals It is oriented by the 2-form ω(x) ( v<sub>1</sub> , v<sub>2</sub> ) = det( n<sub>1</sub> n<sub>2</sub> v<sub>1</sub> v<sub>2</sub> ) . Let be a parametrization for M. Which of the following statements is true? A) P is orientation preserving for M. B) P does not determine an orientation for M. C) P is orientation reversing for M, but no orientation preserving parametrization for M exists. D) P is orientation reversing for M, but q(u) = ( , 5 , , -2 ) would be orientation preserving parametrization for M. E) P is orientation reversing for M, but q(u) = (- , 5 , , 2 ) would be an orientation-preserving parametrization for M. It is oriented by the 2-form
ω(x) ( v1 , v2 ) = det( n1 n2 v1 v2 ) . Let be a parametrization for M. Which of the following statements is true?


A) P is orientation preserving for M.
B) P does not determine an orientation for M.
C) P is orientation reversing for M, but no orientation preserving parametrization for M exists.
D) P is orientation reversing for M, but q(u) = ( The 2-manifold M in R<sup>4 </sup>given by the equations 0 < x<sub>4</sub> < 1, 0 < < 1 has normals It is oriented by the 2-form ω(x) ( v<sub>1</sub> , v<sub>2</sub> ) = det( n<sub>1</sub> n<sub>2</sub> v<sub>1</sub> v<sub>2</sub> ) . Let be a parametrization for M. Which of the following statements is true? A) P is orientation preserving for M. B) P does not determine an orientation for M. C) P is orientation reversing for M, but no orientation preserving parametrization for M exists. D) P is orientation reversing for M, but q(u) = ( , 5 , , -2 ) would be orientation preserving parametrization for M. E) P is orientation reversing for M, but q(u) = (- , 5 , , 2 ) would be an orientation-preserving parametrization for M. , 5 The 2-manifold M in R<sup>4 </sup>given by the equations 0 < x<sub>4</sub> < 1, 0 < < 1 has normals It is oriented by the 2-form ω(x) ( v<sub>1</sub> , v<sub>2</sub> ) = det( n<sub>1</sub> n<sub>2</sub> v<sub>1</sub> v<sub>2</sub> ) . Let be a parametrization for M. Which of the following statements is true? A) P is orientation preserving for M. B) P does not determine an orientation for M. C) P is orientation reversing for M, but no orientation preserving parametrization for M exists. D) P is orientation reversing for M, but q(u) = ( , 5 , , -2 ) would be orientation preserving parametrization for M. E) P is orientation reversing for M, but q(u) = (- , 5 , , 2 ) would be an orientation-preserving parametrization for M. , The 2-manifold M in R<sup>4 </sup>given by the equations 0 < x<sub>4</sub> < 1, 0 < < 1 has normals It is oriented by the 2-form ω(x) ( v<sub>1</sub> , v<sub>2</sub> ) = det( n<sub>1</sub> n<sub>2</sub> v<sub>1</sub> v<sub>2</sub> ) . Let be a parametrization for M. Which of the following statements is true? A) P is orientation preserving for M. B) P does not determine an orientation for M. C) P is orientation reversing for M, but no orientation preserving parametrization for M exists. D) P is orientation reversing for M, but q(u) = ( , 5 , , -2 ) would be orientation preserving parametrization for M. E) P is orientation reversing for M, but q(u) = (- , 5 , , 2 ) would be an orientation-preserving parametrization for M. , -2 The 2-manifold M in R<sup>4 </sup>given by the equations 0 < x<sub>4</sub> < 1, 0 < < 1 has normals It is oriented by the 2-form ω(x) ( v<sub>1</sub> , v<sub>2</sub> ) = det( n<sub>1</sub> n<sub>2</sub> v<sub>1</sub> v<sub>2</sub> ) . Let be a parametrization for M. Which of the following statements is true? A) P is orientation preserving for M. B) P does not determine an orientation for M. C) P is orientation reversing for M, but no orientation preserving parametrization for M exists. D) P is orientation reversing for M, but q(u) = ( , 5 , , -2 ) would be orientation preserving parametrization for M. E) P is orientation reversing for M, but q(u) = (- , 5 , , 2 ) would be an orientation-preserving parametrization for M. ) would be orientation preserving parametrization for M.
E) P is orientation reversing for M, but q(u) = (- The 2-manifold M in R<sup>4 </sup>given by the equations 0 < x<sub>4</sub> < 1, 0 < < 1 has normals It is oriented by the 2-form ω(x) ( v<sub>1</sub> , v<sub>2</sub> ) = det( n<sub>1</sub> n<sub>2</sub> v<sub>1</sub> v<sub>2</sub> ) . Let be a parametrization for M. Which of the following statements is true? A) P is orientation preserving for M. B) P does not determine an orientation for M. C) P is orientation reversing for M, but no orientation preserving parametrization for M exists. D) P is orientation reversing for M, but q(u) = ( , 5 , , -2 ) would be orientation preserving parametrization for M. E) P is orientation reversing for M, but q(u) = (- , 5 , , 2 ) would be an orientation-preserving parametrization for M. , 5 The 2-manifold M in R<sup>4 </sup>given by the equations 0 < x<sub>4</sub> < 1, 0 < < 1 has normals It is oriented by the 2-form ω(x) ( v<sub>1</sub> , v<sub>2</sub> ) = det( n<sub>1</sub> n<sub>2</sub> v<sub>1</sub> v<sub>2</sub> ) . Let be a parametrization for M. Which of the following statements is true? A) P is orientation preserving for M. B) P does not determine an orientation for M. C) P is orientation reversing for M, but no orientation preserving parametrization for M exists. D) P is orientation reversing for M, but q(u) = ( , 5 , , -2 ) would be orientation preserving parametrization for M. E) P is orientation reversing for M, but q(u) = (- , 5 , , 2 ) would be an orientation-preserving parametrization for M. , The 2-manifold M in R<sup>4 </sup>given by the equations 0 < x<sub>4</sub> < 1, 0 < < 1 has normals It is oriented by the 2-form ω(x) ( v<sub>1</sub> , v<sub>2</sub> ) = det( n<sub>1</sub> n<sub>2</sub> v<sub>1</sub> v<sub>2</sub> ) . Let be a parametrization for M. Which of the following statements is true? A) P is orientation preserving for M. B) P does not determine an orientation for M. C) P is orientation reversing for M, but no orientation preserving parametrization for M exists. D) P is orientation reversing for M, but q(u) = ( , 5 , , -2 ) would be orientation preserving parametrization for M. E) P is orientation reversing for M, but q(u) = (- , 5 , , 2 ) would be an orientation-preserving parametrization for M. , 2 The 2-manifold M in R<sup>4 </sup>given by the equations 0 < x<sub>4</sub> < 1, 0 < < 1 has normals It is oriented by the 2-form ω(x) ( v<sub>1</sub> , v<sub>2</sub> ) = det( n<sub>1</sub> n<sub>2</sub> v<sub>1</sub> v<sub>2</sub> ) . Let be a parametrization for M. Which of the following statements is true? A) P is orientation preserving for M. B) P does not determine an orientation for M. C) P is orientation reversing for M, but no orientation preserving parametrization for M exists. D) P is orientation reversing for M, but q(u) = ( , 5 , , -2 ) would be orientation preserving parametrization for M. E) P is orientation reversing for M, but q(u) = (- , 5 , , 2 ) would be an orientation-preserving parametrization for M. ) would be an orientation-preserving parametrization for M.

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