1.3 Vectors & Scalars

The velocity vectors v and v of two cars, X and Y, are shown.

Which arrow represents the direction of the vector v– v?

• A

• B

• C

• D

Which of the following statements about scalar quantities is incorrect?

• A. Scalar quantities contain a magnitude only

• B. Mass is a scalar quantity

• C. Scalar quantities contain both magnitude and direction

• D. Speed is a scalar quantity

Which of the following quantities is not a vector?

• A. Acceleration

• B. Weight

• C. Mass

• D. Drag

A vector of magnitude 10 units is shown with respect to a set x and y axes. What is the correct expression for the components of the vector along the x and y axis?

• x: 10 cos 76, y: 10 sin 76

• x: 10 cos 76, y: 10 sin 14

• x: 10 sin 76, y: 10 cos 76

• x: 10 sin 76, y: 10 cos 14

A vector P has components P_x = 3.0 cm and P_y = 4.0 cm.

What is the length of the vector P?

• A. 1.0 cm

• B. 5.0 cm

• C. 7.0 cm

• D. 25.0 cm

Three forces act on a body in equilibrium. Which diagram is a possible vector diagram for this situation?

• A

• B

• C

• D

Three forces act on a body as shown: Which of the following statements is correct?

• A. The body is in equilibrium

• B. The force required to bring the body into equilibrium is directed in a north west direction

• C. The force required to bring the body into equilibrium is directed in a south east direction

• D. There is no resultant force on the body

Which of the following units is used to measure vectors only?

• A. m

• B. m s-1

• C. s

• D. N

Which of the following units is used to measure scalar quantities only?

• A. s

• B. m

• C. m s-1

• D. m s-2

Which of the following statements about vector quantities is incorrect?

• A. Vectors quantities include a magnitude

• B. Vector quantities contain a direction

• C. Vector quantities are only positive

• D. Vector quantities are positive or negative