Components Magnitude and Directions of Vectors

A car travels 100 km east and then 75 km north. What is the magnitude of the car's displacement?

• 125 km

• 175 km

• 100 km

• 75 km

A plane flies 200 km at a bearing of 30 degrees. What are the north and east components of the plane's displacement?

Determine the direction and magnitude of the vector 〈-11,5〉

• Direction: 24.4°

• Direction: 65.6°

• Direction: 155.6°

Find the magnitude of the vector <10, -8>

• 2

• 12.81

• 6

• 18

Determine the direction angle (θ) for the following vector. Round your answer to three places after the decimal.

How do you find the direction of a vector given its components?

• Use the arctan function to find the angle between the vector and the x-axis.

• Use the tangent function to find the angle between the vector and the y-axis.

• Use the sine function to find the angle between the vector and the y-axis.

• Use the cosine function to find the angle between the vector and the x-axis.

Tags

vector

Velocity is an example of a

• Vector

• Scalar

Given terminal point A ( 2, 4 ) and initial point B ( -8, 7 ), find the direction of the vector BA.

• 3/10