Question

Yes or no: Is each of the following quantities a vector? (a) force (b) temperature (c) the volume of water in a can (d) the ratings of a TV show (e) the height of a building (f) the velocity of a sports car (g) the age of the Universe

Short answer

Therefore the correct option is (a), (f) Yes

Step-by-step solution

Define vector quantity and scalar quantity.

The term "vector quantity" refers to a quantity that has both magnitude and direction and follows the laws of vector addition.

The vector quantity's magnitude is always a positive value.

If a quantity has simply magnitude but no direction, it is said to be a scalar quantity.

Determine which options are vector quantities or not? 

Temperature, the volume of water in a container, the ratings of a TV show, the height of a building, and the age of the universe are all quantities with magnitude but no direction. As a result, these quantities are scalar.

The sports quantities force and velocity have both magnitude and direction. As a result, these values are vector values.

Thus the option (a) and (f) is correct choice.

Check each option, whether it is vector or not?

As a result, the right answers are: (a) Yes, the force is a vector quantity.

(b) No, the force is not a vector quantity.

(b) The temperature is a scalar quantity, not a vector.

(c) The volume of water in a can is a scalar quantity, not a vector quantity.

(d) No, a TV show's ratings are a scalar quantity.

(e) No, a building's height is a scalar quantity.

(f) Yes, a sports car's velocity is a vector quantity.

(g) No, the universe age is a scalar quantity.