Quiz about Components Magnitude and Directions of Vectors

Question 1

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

Accepted Answer

125 km

Answer

175 km

Answer

100 km

Answer

75 km

Question 2

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

Accepted Answer

$$\langle 100, 100\sqrt{3} \rangle$$

Answer

$$\langle 100\sqrt{3}, 100 \rangle$$

Answer

$$\langle 200, 0 \rangle$$

Answer

$$\langle 0, 200 \rangle$$

Question 3

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

Accepted Answer

12.81

Answer

2

Answer

6

Answer

18

Question 4

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

Velocity is an example of a

Accepted Answer

Vector

Answer

Scalar

Question 6

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

Accepted Answer

3/10

Answer

$$\sqrt[]{13}$$

Answer

$$\sqrt[]{7}$$

Answer

$$\frac{10}{3}$$

Question 7

Are the vectors u and w equivalent?

Accepted Answer

Yes, they are equivalent.

Answer

No, they have the same magnitude, but different directions.

Answer

No, they have the same direction, but different magnitudes.

Answer

No, they have different magnitudes and different directions.

Question 8

Find $$\left|p\right|$$ =...

Accepted Answer

$$\sqrt[]{41}$$

Answer

$$\sqrt[]{42}$$

Answer

$$\sqrt[]{43}$$

Answer

$$\sqrt[]{44}$$

Question 9

To find the magnitude of a vector you use which formula

Accepted Answer

pythagorean theorem

Answer

inverse sine

Answer

graphical analysis

Answer

slope

Components Magnitude and Directions of Vectors