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

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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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?
Transcribed Image Text: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
Transcribed Image Text: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
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