0
You walk from your home to school, you walk back from your school to home. Outcome: you have walked two lots of the distance between your home and school but your resulting displacement is 0: you are now exactly where you started from. The sum of two vectors of the same magnitude but in opposite directions is 0.
Another example: try rowing a boat across a flowing stream. To go to the opposite bank you need to aim up-stream. Alternatively, if you try to row at right angles to the bank that you started from, you will end up downstream. These are examples of adding vectors that are acting at an angle to one another.
What else can I help you with?
Is electric field scalar or vector quantity?
Electric field is a vector quantity, as it has both magnitude and direction. The direction of the electric field at a point is the direction of the force that a positive test charge would experience if placed at that point.
Is curl of vector function F must perpendicular to every vector function f?
No, the curl of a vector field is a vector field itself and is not required to be perpendicular to every vector field f. The curl is related to the local rotation of the vector field, not its orthogonality to other vector fields.
Is magnetic field line scalar or vector quantity?
Vector.
Under what condition is a vector field considered conservative if the curl of the field is zero?
A vector field is considered conservative when its curl is zero.
What is Divergence and curl of vector field?
Divergence and curl are two fundamental operators in vector calculus that describe different aspects of a vector field. The divergence of a vector field measures the rate at which "stuff" is expanding or contracting at a point, indicating sources or sinks in the field. Mathematically, it is represented as the dot product of the del operator with the vector field. Curl, on the other hand, measures the rotation or circulation of the field around a point, indicating how much the field "curls" or twists; it is represented as the cross product of the del operator with the vector field.
Is field vector quantity?
no
Is the magnetic field a vector quantity?
Yes, the magnetic field is a vector quantity because it has both magnitude and direction.
Current is scaler or vector?
Scaler. The electric field is its vector counterpart.
The direction of the electric field vector is defined as?
Direction of the electric field vector is the direction of the force experienced by a charged particle in an external electric field.
What happens if the electron enters the magnetic field parallel to B?
If an electron enters a magnetic field parallel to the field lines (i.e., parallel to B), it will not experience any deflection or force due to the magnetic field. This is because the force on a charged particle moving parallel to a magnetic field is zero.
Is electric field intensity is an vectors?
Yes, electric field intensity is a vector quantity because it has both magnitude and direction. The direction of the electric field intensity indicates the direction of the force that a positive test charge would experience if placed in that field.
What are the engineering applications of vector calculus?
in which field vector calculus is applied deeply
