Question

(1)Classify the measures as scalars and vectors,
$10kg$

(2)Classify the measures as scalars and vectors,
$2$ meters north-west.

(3)Classify the measures as scalars and vectors,
${40}^{\circ }$

(4)Classify the measures as scalars and vectors,
$40$ watts

(5)Classify the measures as scalars and vectors,
${10}^{-19}$ coulomb

(6)Classify the measures as scalars and vectors,
$20m/s^2$

Answer 1

(1) Vector quantity: A quantity which has a magnitude as well as a direction.
Scalar quantity: A quantity which has only magnitude.
$10kg$ is weight, it has only magnitude.

$\therefore 10kg$ 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.
$2$ meters north-west has magnitude $2$ meters as well as a north-west direction.

$\therefore 2$ meters north-west is a vector quantity.

(3) Vector quantity: A quantity which has a magnitude as well as a direction.
Scalar quantity: A quantity which has only magnitude.
${40}^{\circ }$ has only magnitude.

$\therefore {40}^{\circ }$ is a scalar quantity.

(4) Vector quantity: A quantity which has a magnitude as well as a direction.
Scalar quantity: A quantity which has only magnitude.
$40$ watts is a power which has a magnitude only.

$\therefore 40$ wattsis 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.
${10}^{-19}$ coulomb is an electric charge, which has magnitude but no direction.

$\therefore {10}^{-19}$ coulomb 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.
$20m/s^2$ is acceleration which has magnitude as well as direction.

$\therefore 20m/s^2$ is a vector quantity.