Classify the following measures as scalars and vectors.
(i)10kg
(ii)2metres north-west
(iii)40°
(iv)40watt
(v)10-19coulomb
(vi)20m/s2
Classify the following measures as scalars and vectors.
(i)10kg
(ii)2metres north-west
(iii)40°
(iv)40watt
(v)10-19coulomb
(vi)20m/s2
Solution and Explanation
(i)10kg is a scalar quantity because it involves only magnitude.
(ii) 2 meters north-west is a vector quantity as it involves both magnitude and direction.
(iii)40°is a scalar quantity as it involves only magnitude.
(iv)40 watts is a scalar quantity as it involves only magnitude.
(v)10-19 coulomb is a scalar quantity as it involves only magnitude.
(vi)20m/s2 is a vector quantity as it involves magnitude as well as direction.
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Concepts Used:
Types of Vectors
In general, vectors are used in Maths and Science and are categorized into 10 different types of vectors such as:-
- Unit Vector - When a vector has a magnitude of 1 unit length, called a Unit Vector.
- Co-Initial Vector - Two or more vectors that have the same initial point are known to be Co-Initial Vectors.
- Coplanar Vector - Vectors that lie either in the same plane or are parallel to the same plane are called Coplanar vectors.
- Equal Vector - When two vectors have equal direction as well as magnitude, they are Equal Vectors, even if the initial point is different for both vectors.
- Negative of a Vector - When two vectors have the same magnitude but have exactly different directions.
- Zero Vector - When a vector has the same starting and ending point and has zero magnitudes is called a zero vector. The starting point needs to coincide with the terminal point. It is denoted by 0. It is also known as the null vector.
- Position Vector - A vector that indicates the location or the position of a point in a plane (three-dimensional Cartesian system) w.r.t. its origin. If A is a reference origin and there’s an arbitrary point B in the plane then AB will be called the position vector of the point.
- Like and Unlike Vectors - Like vectors are the vectors that have the same direction. And unlike vectors are the vectors that have opposite directions.
- Collinear Vector - Vectors either lying in the same line or which are parallel to the same line are Collinear vectors.
- Displacement Vector - The vector AB will be known as a displacement vector if a point is displaced from position B to position A.