Question

I need help with vectors.

Answer 1

B. Write in the form
Part I: Find the magnitude of vector v. Express your answer in radical form. (4 points)












Part II: Use the magnitude and the angle of vector v to write it in the form (2 points)












C. What is the angle between and ?
Part I: Use the formula to find the cosine of the angle between these vectors. (4 points)












Part II: Use the cosine of the angle to find the actual angle between the two vectors. (2 points)












9. Assume a plane is flying directly north at 200 mph, but there is a wind blowing west at 23 mph.
Part I: Express both the velocity of the plane and the velocity of the wind as vectors, using proper notation to represent each direction of motion. (2 points)












Part II: What is the velocity vector of the plane? (2 points)


















Part III: What is the ground speed of the plane? (2 points)




















Part IV: Sketch the velocity vectors of the plane and the new direction of the plane on the axes below. Label the plane's original velocity as vplane, the wind velocity as vwind, and the resultant velocity as v. (6 points)

Answer 2

sec

Answer 3

B. Write in the form
Part I: Find the magnitude of vector v. Express your answer in radical form. (4 points)












Part II: Use the magnitude and the angle of vector v to write it in the form (2 points)












C. What is the angle between and ?
Part I: Use the formula to find the cosine of the angle between these vectors. (4 points)












Part II: Use the cosine of the angle to find the actual angle between the two vectors. (2 points)












9. Assume a plane is flying directly north at 200 mph, but there is a wind blowing west at 23 mph.
Part I: Express both the velocity of the plane and the velocity of the wind as vectors, using proper notation to represent each direction of motion. (2 points)












Part II: What is the velocity vector of the plane? (2 points)


















Part III: What is the ground speed of the plane? (2 points)




















Part IV: Sketch the velocity vectors of the plane and the new direction of the plane on the axes below. Label the plane's original velocity as vplane, the wind velocity as vwind, and the resultant velocity as v. (6 points)

Answer 4

Where is vector \(\bf \large \vec{v}\)?

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