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“Why is current a scalar quantity even after having both magnitude as well as direction?”
For a physical quantity to be termed a vector quantity, having magnitude and direction is not enough. The quantity should obey the laws of vector addition too. Like the triangle law or the parallelogram law. As we know, if two currents meet at a junction, the total current of the resultant current will be the algebraic sum of the two current and not the vector sum.
“How to solve rain and man problems from motion in one dimension?”
The problem is solved using principles of vector addition.
There is a simple logic to remember
A/C = A/B x B/C
If we represent diagrammatically (in the form of vectors) the velocity of rain wrt ground, velocity of man wrt ground and velocity of rain wrt man, then we can write
Vr/m = V r/g + Vg/m = V r/g – Vm/g = V r/g + (- Vm/g)
Where (- Vm/g) is the negative vector of Vg/m
I will be adding illustrations soon.