Vector addition

Which of the following correctly defines the magnitude of a vector?

• The total displacement of an object, including direction.
• The sum of the components of the vector.
• The square root of the sum of the squares of the components of the vector
• The sum of the squares of the components of the vector.

What is the magnitude of this vector?

(a)  

What is the magnitude of this vector?

(a)  

What is the magnitude of this vector?

(a)  

What is the magnitude of the sum of the blue and the purple vectors?

(a)  

What is the magnitude of the sum of the red and the orange vectors?

(a)  

What is the magnitude of the sum of all six vectors?

(a)  

What is the magnitude of the sum of the vectors?

(a)  

Which of the following correctly defines the angle a vector makes with the positive x-axis?

• The inverse tangent of the ratio of the vector’s y-component to its x-component.
• The inverse cosine of the ratio of the vector’s x-component to its y-component.
• The inverse tangent of the vector’s magnitude divided by its x-component.
• The sum of the vector’s x- and y-components, expressed as an angle in degrees.

What is the angle in degrees that this vector makes to the positive x direction? Round your answer to two decimal places and do not include units.

(a)