Question

Why Electric current and the velocity of light is not a vector even though they have speed and direction? Explain in by mathmatically. (By using the vector operation is not operated.)

Answer 1

Electric current have both magnitude and direction but still not considered as a vector. Because it doesn't obey the laws of vector addition. To add the currents passing through a point kirchoffs rules are made used instead of vector addition. Hence it is a scalar quantity.

Similarly speed of light is not considered as a vector because at a given point light travels in all the directions for a point source according to Hyugens principle. Hence it is not considered as a vector.