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

Tags

CCSS.HSN.VM.A.3

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

Tags

CCSS.HSN.VM.A.3

Tags

CCSS.HSN.VM.A.1

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

• Direction: 24.4°

• Direction: 65.6°

• Direction: 155.6°

Tags

CCSS.HSN.VM.A.1

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

• 2

• 12.81

• 6

• 18

Tags

CCSS.HSN.VM.A.1

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

(a)  

Tags

CCSS.HSN.VM.A.1

Tags

CCSS.HSN.VM.A.1

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

Tags

CCSS.HSN.VM.A.1

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

• 3/10

Tags

CCSS.HSN.VM.A.1