Question

(1) Classify the measures as scalars and vectors,
$5$ seconds.

(2) Classify the measures as scalars and vectors,
$1000c{m}^3$

(3) Classify the measures as scalars and vectors,
$10$ Newton

(4) Classify the measures as scalars and vectors,
$30km/hr$

(5) Classify the measures as scalars and vectors,
$10g/c{m}^3$

(6) Classify the measures as scalars and vectors,
$20m/s$ towards north

Answer 1

(1) Vector quantity: A quantity which has a magnitude as well as a direction.
Scalar quantity: A quantity which has only magnitude.
$5$ seconds is a time period. It has only magnitude and no direction.

$\therefore 5$ seconds is a scalar quantity.

(2)Vector quantity: A quantity which has a magnitude as well as a direction.
Scalar quantity: A quantity which has only magnitude.
$1000c{m}^3$ is volume. It has only magnitude and no direction

$\therefore 1000c{m}^3$ is a scalar quantity.

(3)Vector quantity: A quantity which has a magnitude as well as a direction.
Scalar quantity: A quantity which has only magnitude.
$10N$ is force applied.
It has magnitude i.e. ,$10$ and direction also.

$\therefore 10N$ is a vector quantity.

(4)Vector quantity: A quantity which has a magnitude as well as a direction.
Scalar quantity: A quantity which has only magnitude.
$30km/hr$ is speed.
It has magnitude only i.e., $30$ and no particular direction.

$\therefore 30km/hr$ is a scalar quantity.

(5)Vector quantity: A quantity which has a magnitude as well as a direction.
Scalar quantity: A quantity which has only magnitude.
$10g/c{m}^3$ is density.
It has only magnitude i.e., $10$ and no direction.

$\therefore 10g/c{m}^3$ is a scalar quantity.

(6)Vector quantity: A quantity which has a magnitude as well as a direction.
Scalar quantity: A quantity which has only magnitude.
$20m/s$ towards north is velocity.
It has a magnitude i.e., $20m/s$ and also a direction. i.e., towards north.

$\therefore 20m/s$ towards north is a vector quantity