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Find the Two Unit Vectors Tangent at the Point (1

Question 84

Multiple Choice

Find the two unit vectors tangent at the point (1, 1, 1) to the curve of intersection of the surfaces xy2 + x2y + z3 = 3 and x3 - y3 - xyz = -1.


A) ± Find the two unit vectors tangent at the point (1, 1, 1)  to the curve of intersection of the surfaces xy<sup>2</sup> + x<sup>2</sup>y + z<sup>3</sup> = 3 and x<sup>3</sup> - y<sup>3</sup> - xyz = -1. A)  ±   ( i + j - 2 k )  B)  ±   ( i - j - 2 k )  C)  ±   ( i - 2 j - 2 k )  D)  ±   ( i + j - k )  E)  ±   ( i + j - 2 k ) ( i + j - 2 k )
B) ± Find the two unit vectors tangent at the point (1, 1, 1)  to the curve of intersection of the surfaces xy<sup>2</sup> + x<sup>2</sup>y + z<sup>3</sup> = 3 and x<sup>3</sup> - y<sup>3</sup> - xyz = -1. A)  ±   ( i + j - 2 k )  B)  ±   ( i - j - 2 k )  C)  ±   ( i - 2 j - 2 k )  D)  ±   ( i + j - k )  E)  ±   ( i + j - 2 k ) ( i - j - 2 k )
C) ± Find the two unit vectors tangent at the point (1, 1, 1)  to the curve of intersection of the surfaces xy<sup>2</sup> + x<sup>2</sup>y + z<sup>3</sup> = 3 and x<sup>3</sup> - y<sup>3</sup> - xyz = -1. A)  ±   ( i + j - 2 k )  B)  ±   ( i - j - 2 k )  C)  ±   ( i - 2 j - 2 k )  D)  ±   ( i + j - k )  E)  ±   ( i + j - 2 k ) ( i - 2 j - 2 k )
D) ± Find the two unit vectors tangent at the point (1, 1, 1)  to the curve of intersection of the surfaces xy<sup>2</sup> + x<sup>2</sup>y + z<sup>3</sup> = 3 and x<sup>3</sup> - y<sup>3</sup> - xyz = -1. A)  ±   ( i + j - 2 k )  B)  ±   ( i - j - 2 k )  C)  ±   ( i - 2 j - 2 k )  D)  ±   ( i + j - k )  E)  ±   ( i + j - 2 k ) ( i + j - k )
E) ± Find the two unit vectors tangent at the point (1, 1, 1)  to the curve of intersection of the surfaces xy<sup>2</sup> + x<sup>2</sup>y + z<sup>3</sup> = 3 and x<sup>3</sup> - y<sup>3</sup> - xyz = -1. A)  ±   ( i + j - 2 k )  B)  ±   ( i - j - 2 k )  C)  ±   ( i - 2 j - 2 k )  D)  ±   ( i + j - k )  E)  ±   ( i + j - 2 k ) ( i + j - 2 k )

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