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Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 6AEXP
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3. In the figure below, what is the length of arc AB? А. Эп ст В. бя ст 60° С. Зп ст 3 cm D. п ст 4. Micah Apostol, Michaella Lomibao, and Micaella Cera were asked by Aiejeoff to convert a given angle in one unit to another. Who did it CORRECTLY? A. Micah : 30° = " rad %3D B. Michaella : 3 revolutions = 6n rad C. Micaella : 1 rad = 180 deg D. All of them did it correctly. 5. Aaron, Airon, Aldrin, and Adrian were instructed to stand on a unit circle. Each was given an angle which served as his clue in locating his spot. Shortly, they realized that three of them had to stand on the same spot. Who among them was assigned on a different spot? A. Aaron (120°) B. Airon (-240°) C. Aldrin (840°) D. Adrian (-120°) 6. Each of the following made a guess on how the length of the arc intercepted by a fixed central angle changes if the radius of the circle is doubled. Whose guess is CORRECT? It is halved! It is also doubled! C. George D. Jhivan А. Ippo : : B. Dexter It is not changed! It is quadrupled!
Transcribed Image Text:3. In the figure below, what is the length of arc AB? А. Эп ст В. бя ст 60° С. Зп ст 3 cm D. п ст 4. Micah Apostol, Michaella Lomibao, and Micaella Cera were asked by Aiejeoff to convert a given angle in one unit to another. Who did it CORRECTLY? A. Micah : 30° = " rad %3D B. Michaella : 3 revolutions = 6n rad C. Micaella : 1 rad = 180 deg D. All of them did it correctly. 5. Aaron, Airon, Aldrin, and Adrian were instructed to stand on a unit circle. Each was given an angle which served as his clue in locating his spot. Shortly, they realized that three of them had to stand on the same spot. Who among them was assigned on a different spot? A. Aaron (120°) B. Airon (-240°) C. Aldrin (840°) D. Adrian (-120°) 6. Each of the following made a guess on how the length of the arc intercepted by a fixed central angle changes if the radius of the circle is doubled. Whose guess is CORRECT? It is halved! It is also doubled! C. George D. Jhivan А. Ippo : : B. Dexter It is not changed! It is quadrupled!
1. For an angle to be in standard position, which of the following conditions MUST be satisfied? i. it is drawn on the xy-plane ii. its vertex is at the origin iii. its initial side is on the positive x-axis iv. it is positive v. it is given in radians A. i, ii, iii B. i, ii, iii, iv C. i, ii, iii, v D. i, ii, iii, iv, v 2. The following STEM1 students are playing FACT or BLUFF about the unit circle. Who is BLUFFING? : the length of the arc intercepted by a central angle is equal to the radian conversion of that central angle. : The circumference of a unit circle is roughly 6.18 units. : The arc intercepted by a 60-degree central angle is equal to 1/6 of the circle's circumference : One radian is equal to 2n. A. John Russel B. John Lloyd C. John Leinard D. John Carlo
Transcribed Image Text:1. For an angle to be in standard position, which of the following conditions MUST be satisfied? i. it is drawn on the xy-plane ii. its vertex is at the origin iii. its initial side is on the positive x-axis iv. it is positive v. it is given in radians A. i, ii, iii B. i, ii, iii, iv C. i, ii, iii, v D. i, ii, iii, iv, v 2. The following STEM1 students are playing FACT or BLUFF about the unit circle. Who is BLUFFING? : the length of the arc intercepted by a central angle is equal to the radian conversion of that central angle. : The circumference of a unit circle is roughly 6.18 units. : The arc intercepted by a 60-degree central angle is equal to 1/6 of the circle's circumference : One radian is equal to 2n. A. John Russel B. John Lloyd C. John Leinard D. John Carlo
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