Adding Vectors

If a car moves 12 km North, 19 km East, and 12 km South, what is its displacement?

• 12 km

• 19 km, East

• 31 km

• 43 km, East

Which direction will the soccer ball go and with how much force? 

• 200N Left 

• 1.66N Left 

• 50N Left 

• 12N Left 

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NGSS.MS-PS2-1

NGSS.MS-PS2-2

• Unbalanced 
• Balanced 

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NGSS.MS-PS2-1

NGSS.MS-PS2-2

Mrs. King and Mr. King decided to move a dresser across the room. They both stood on one side and pushed left with 30N of force, although there was 10N of friction. What is the net force and direction?

• 40N Left

• 30N Left

• 20N Left

• 10N Left

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NGSS.MS-PS2-2

William and Avery are using ping pong balls to demonstrate the concept of vector addition by rolling two balls in different directions. What do you observe?

• The resultant direction and distance of the combined movement of the two balls illustrate vector addition.

• The balls will bounce off each other without any direction change.

• Rolling the balls in the same direction will cancel each other out.

• The combined movement will always go straight regardless of the angles.

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NGSS.MS-PS2-2

Imagine or draw a vector representing a force of 5 N at an angle of 30 degrees. What are its components?

• x-component: 2.5 N, y-component: 4.33 N

• x-component: 3 N, y-component: 4 N

• x-component: 4.33 N, y-component: 2.5 N

• x-component: 5 N, y-component: 0 N

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NGSS.HS-PS2-1

Using masking tape, create a right triangle with sides representing vectors A and B. What is the resultant vector?

• R = A + B

• R = √(A² + B²)

• R = A × B

• R = A - B

Explain how to add two vectors graphically using the head-to-tail method.

• You add the vectors by placing them side by side without connecting them.

• The resultant vector is the average of the two vectors' lengths.

• The resultant vector is obtained by drawing from the tail of the first vector to the head of the second vector.

• The resultant vector is drawn from the head of the first vector to the tail of the second vector.

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NGSS.MS-PS3-1

What role does the unit vector play in vector addition and representation?

• Unit vectors serve as the basis for representing direction in vector addition, allowing for simplified calculations and clear visualization.

• Unit vectors are primarily used for scalar multiplication in physics.

• Unit vectors are used to calculate the magnitude of vectors only.

• Unit vectors can replace any vector in calculations without changing the result.

If two vectors, A and B, are perpendicular to each other and have magnitudes of 3 units and 4 units respectively, what is the magnitude of their resultant vector?

• 5 units

• 7 units

• 1 unit

• 12 units