We are here discussing regarding the introduction of vectors, resolution of vectors and laws of vectors. Vector is a physical quantity that has magnitude, direction and satisfy the laws of vector algebra. Some physical quantities in physics need both magnitude and direction to explain them completely and that kind of vectors are treated as vectors. Simple examples of vectors are displacement,velocity,momentum,force and torque.
Vectors are graphically represented as an arrows and the head of the arrow is treated as its direction. The size of the arrow is directly proportional to the magnitude of the vector. The direction of the vector is identified with its unit vector and it has only direction of the vector and the magnitude of the unit vector is one unit only. Thus any vector can be represented as the product of magnitude of the vector and its unit vector.
The direction of the vector are represented as unit vectors i,j and k along X,Y and Z axis. All of they are having a magnitude of one unit. If two vectors are having same magnitude and same direction then the two vectors are called unit vectors. If their magnitude is same but the direction is opposite, then one vector is called negative vector of the other vector and vice versa. Here is a video lesson on the basics of the vectors.
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