Vectors and Scalars Quiz

Which of the following quantities is classified as a scalar?

What two characteristics uniquely define a vector?

Which of the following statements accurately describes the relationship between the magnitude and direction of a vector?

A vector is pointing 55° North of East and has a value of 2.3. If you were to reflect this vector over the X axis, which of the following properties would remain the same?

Under what condition are two vectors considered equal?

Which of the following is an example of a vector quantity?

Which of the following operations is valid for scalar quantities but not directly applicable to vector quantities without considering direction?

Vector A has a length of 5 meters and points East. Vector B has a length of 5 meters. To be equal to Vector A where must Vector B point?

Which of the following scenarios demonstrates the most appropriate use of unit prefixes for expressing length?

Why is it essential for terms added or equated in an equation to have the same units?

When converting units, what is the primary purpose of forming a ratio of the same physical quantity in two different units?

In multiplication or division, how does the number of significant figures in factors affect the significant figures in the answer?

In addition or subtraction, what determines the number of significant figures in the final answer?

What distinguishes a vector quantity from a scalar quantity?

Which of the following masses is the largest?

What is the correct way to represent the magnitude of a vector Ā?

What are the two primary ways a vector can be represented?

If a vector's x-component is negative and its y-component is positive, in which quadrant does the vector lie on a standard Cartesian coordinate system?

A vector is represented as 5 cm ∟0°. What does this representation indicate?

Which mathematical concept is most closely related to finding the components of a vector given its magnitude and direction?

Given a vector A represented as <$3, 4$>, what does the '3' and '4' represent?

A vector has a magnitude of 10 units and an angle of 270° from the positive x-axis. What are its components?

Which of the following is NOT a vector quantity?

When adding vectors graphically, what is a limitation compared to using vector components?

What information is necessary to fully describe a vector using the magnitude-direction representation?

What is the effect of multiplying a vector by a negative scalar?

When adding vectors graphically using the head-to-tail method, what does the resultant vector represent?

When subtracting vector $\vec{B}$ from vector $\vec{A}$ (i.e., $\vec{A} - \vec{B}$), which of the following is true?

In the context of vector addition, what does the 'head-to-tail' method help to determine?

When adding multiple vectors graphically, how does the order in which the vectors are added affect the resultant vector?

Which of the following statements is true regarding the subtraction of vectors using the parallelogram method?

What happens to the direction of a vector when it’s multiplied by a scalar of $0$?

What does the magnitude of a unit vector equal?

Given vectors A and B, which of the following statements is true regarding their scalar product if the angle θ between them is greater than 90 degrees but less than 180?

If vector A = $2î - 3ĵ + k̂$ and vector B = $-î + 5ĵ - 2k̂$, what is their scalar product A · B?

Which of the following is a correct interpretation of the vector product (cross product) properties?

Given vectors A and B, where A = $Ax î + Ay ĵ$ and B = $Bx î + By ĵ$, what is the correct expression for calculating the angle θ between them using the scalar product?

In physics, which of the following quantities can be calculated using the scalar product of force and displacement vectors?

Vectors A and B are defined as: A = $5î - 2ĵ + 3k̂$ and B = $-2î + ĵ - 4k̂$. What is the z-component of the vector product (cross product) A × B?

Which of the following is a characteristic of the scalar product of two vectors?