Classify the below given measures as scalars and vectors:
(i) 10 kg
(ii) 2 m north-west
(iii) 40∘
(iv) 40 W
(v) 10−19 C
(vi) 20 m/s2
(i) Scalar. Here the unit involved is 'kg' which is the unit of mass and direction is not there .We know that mass is scalar so, 10 kg will also be a scalar.
(ii) Vector. 2 m north-west is a vector quantity as it involves both magnitude (2 m) as well as direction (north-west).
(iii) Scalar. 40∘ represents an angle and we know that angle is a scalar quantity as it involves only magnitude.
(iv) Scalar. Here the unit involved is watt which is the unit of power which is a scalar quantity. So, 40 W is a scalar quantity as it involves only magnitude.
(v) Scalar. 10−19 C is a scalar quantity as it involves only magnitude.
(vi) Vector. Here the unit involved is 20 m/s2 which is the unit of acceleration and acceleration is a vector quantity. So, 20 m/s2 is a vector quantity as it involves magnitude as well as direction.