Question:

Represent graphically a displacement of 40km,30°east of north.

CBSE CLASS XII

Updated On: Sep 1, 2023

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Solution and Explanation

Here,vector OP→ represents the displacement of 40km,30°East of North.

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Notes on Vector Algebra

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.