Question 14 Show that the magnitude of A. (B x C) is the volume of the parallelepiped determined by A, B, and C. Question 15 For the two vectors A =4.0i 3.0j+2.0k and B = - 1.0i +2.0j +1.0k, calculate A.B and AxB. Question 16 An airplane traveling at a constant speed of 300 km/h flies 30° north of east for 0.50 hour (h) and then flies 30° west of south for 1.00 h. What is the average velocity vector for the entire flight? What is the average acceleration vector for the entire flight? Question 17 A rock is thrown from a bridge at an upward launch angle of 30° with an initial speed of 25 m/s. The bridge is 30 m above the river. How much time elapses before the rock hits the water? Question 12 Two vectors are given by A 2.0i 3.0j +1.0k and B -1.0i 2.0j + Bk. The magnitude of the resultant A Bis 6. What are the two possible values of B2? Question 13 The displacement vector A has a length of 30 m and a direction 20° south of east. The displacement vector B has a length of 40 m and a direction 20° west of north. Find the component of A along B Find the component of B along A

Question 14 Show that the magnitude of A. (B x C) is the volume of the parallelepiped determined by A, B, and C. Question 15 For the two vectors A =4.0i 3.0j+2.0k and B = - 1.0i +2.0j +1.0k, calculate A.B and AxB. Question 16 An airplane traveling at a constant speed of 300 km/h flies 30° north of east for 0.50 hour (h) and then flies 30° west of south for 1.00 h. What is the average velocity vector for the entire flight? What is the average acceleration vector for the entire flight? Question 17 A rock is thrown from a bridge at an upward launch angle of 30° with an initial speed of 25 m/s. The bridge is 30 m above the river. How much time elapses before the rock hits the water? Question 12 Two vectors are given by A 2.0i 3.0j +1.0k and B -1.0i 2.0j + Bk. The magnitude of the resultant A Bis 6. What are the two possible values of B2? Question 13 The displacement vector A has a length of 30 m and a direction 20° south of east. The displacement vector B has a length of 40 m and a direction 20° west of north. Find the component of A along B Find the component of B along A

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 2.10CYU: Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...

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