Free Printable Vector Addition Review

Worksheets

Vector Addition Review

Total questions: 20

Worksheet time: 15mins

Name

Class

Date

A vector includes ______ and ________.

direction, magnitude

magnitude, units

direction, units

scalars, scalars

A resultant vector is

equal to the sum of one vector.

equal to the sum of two or more vectors.

equal to the difference of one vector.

What is the resultant of these two vectors?

+17 m

+3 m

-17 m

-3 m

If two vectors to be added are at right angles, you will need to....

Multiply

Divide

Pythagorean Theorem

Use trigonometry

When using the head-to-tail method to draw a vector addition diagram, the resultant is drawn from the _____ .

head of the first vector to the tail of the last vector

tail of the first vector to the head of the last vector

head of the last vector to the tail of the first vector

tail of the last vector to the head of the last vector

Find the measure of the indicated angle (?) round to the nearest tenth.

9.4

55.2

20.15

19.4

Bob walks 2 miles north and turns west and walks 2 miles. What is Bob's general displacement?

4 miles northeast

3 miles northwest

3 miles southeast

Cameron (Cam for short) Per hikes to a campsite where he will spend the evening. He hikes 6.0 km, north and 3.0 km, west. The magnitude of Cam's displacement is ___km

3.0

4.5

6.7

What is the magnitude of the resultant vector, r?

10.

Which of the following describes the vector above?

45 cm

45 cm at 30 degrees North of East

45 cm at 30 degrees East of North

45 cm North East

11.

Describe the direction of the vector above.

30 degrees

30 degrees North East

30 degrees North of East

30 degrees East of North

12.

If vector A has an y component of 12 units and a x component of 7 units, which would allow you to solve for the MAGNITUDE of vector A?

$\sqrt{12^2-7^2}$

$\sqrt{12^2+7^2}$

$\tan^{-1}\left(\frac{12}{7}\right)$

$\tan^{-1}\left(\frac{7}{12}\right)$

13.

If vector A has an y component of 12 units and a x component of 7 units, which would allow you to solve for the DIRECTION of vector A?

$\sqrt{12^2-7^2}$

$\sqrt{12^2+7^2}$

$\tan^{-1}\left(\frac{12}{7}\right)$

$\tan^{-1}\left(\frac{7}{12}\right)$

14.

What is the resultant for the following example?

(Part of the work is done, but not all)

24.6 km at 27 degrees north of east

24.6 km at 63 degrees north of east

33 km at 27 degrees north of east

33 km at 63 degrees north of east

15.

An airplane flies due north at 150 km/h with respect to the air. There is a wind blowing at 75 km/h due east. What are the plane's speed with respect to the ground?

167.7 km/h at 26.6 degrees north of east

225 km/h at 26.6 degrees east of north

167.7 km/h at 63.4 degrees north of east

129.9 km/h at 63.4 degrees north of east

129.9 km/h at 26.6 degrees east of north

16.

A Frisbee that flies at a speed of 1.8 m/s north relative to the air encounters a tailwind that travels at 1.2 m/s. What are the speed and direction of the Frisbee relative to the ground?

0.60 m/s north

0.60 m/s at an 45 degrees north of east.

3.0 m/s north

0.60 m/s south

3.0 m/s south

17.

A Frisbee that flies at a speed of 1.8 m/s north relative to the air encounters a tailwind that travels at 1.2 m/s. What are the speed and direction of the Frisbee relative to the ground?

0.60 m/s north

0.60 m/s at an 45 degrees north of east.

3.0 m/s north

0.60 m/s south

3.0 m/s south

18.

What is the resultant vector of the two labeled vectors?

+2 km

+14 km

-2 km

-14 km

19.

What is the resultant of the two vectors shown above?

-5

+15

-15

20.

Bob walks 4 miles west and stops to rest. He then continues to walk another 3 miles west. What is his displacement?

7 miles west

1 mile west

12 miles west

7 miles east

Reset

Vector Addition Review

Total questions: 20

Worksheet time: 15mins

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