Chapter 3 Vectors

Which of the following are vector quantities?

• your age

• acceleration

• velocity

• speed

• mass

The magnitudes of two vectors  $\overrightarrow{A}$  and  $\overrightarrow{B}$  are  $\overrightarrow{A}=12\ units$  and  $\overrightarrow{B}=8\ units$  . Which pair of numbers represents the largest and smallest possible values for the magnitude of the resultant vector  $\overrightarrow{R}=\overrightarrow{A}+\overrightarrow{B}$  ?

• 14.4 units, 4 units

• 12 units, 8 units

• 20 units, 4 units

• none of these answers

 If vector  $\overrightarrow{B}$  is added to vector  $\overrightarrow{A}$  , which two of the following choices must be true for the resultant vector to be equal to zero?

•  $\overrightarrow{A}$  and  $\overrightarrow{B}$  are parallel and in the same direction.

•  $\overrightarrow{A}$  and  $\overrightarrow{B}$  are parallel and in the opposite directions.

•  $\overrightarrow{A}$  and  $\overrightarrow{B}$  have the same magnitude.

•  $\overrightarrow{A}$  and  $\overrightarrow{B}$  are perpendicular.

Choose the correct response to make the sentence true: A component of a vector is ___________ larger than the magnitude of the vector.

• always

• never

• sometimes

For which of the following vectors is the magnitude of the vector equal to one of the components of the vector?

• $\overrightarrow{A}$ =2i+5j

• $\overrightarrow{B}$ =-3j

• $\overrightarrow{C}$ =5k