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# Area is a vector quantity...why???

It actually depends on the fact of the physical area, but if that factor is changes to a non-directional object such as a rug spread on the floor, you can call the area or a region as a scalar. Having said that, if the object is of a small loop that is a flow meter as in measuring the amount of water...

It actually depends on the fact of the physical area, but if that factor is changes to a non-directional object such as a rug spread on the floor, you can call the area or a region as a scalar. Having said that, if the object is of a small loop that is a flow meter as in measuring the amount of water passing per second, then under that circumstance, it can be treated as a vector.

Another example to explain this is if A Guy wants to find the area of his house, then in that context Area is Scalar. He would not want to know the direction of his home, which is illogical and in this context are cannot be vector

Hope this helps

Tutor

Scalars are quantities that are fully described by a magnitude (or numerical value) alone. Vectors are quantities that are fully described by both a magnitude and a direction. area is NOT a vector. But it can be "represented" by one. If you are dealing with planar regions in three dimensions, then it...
• Scalars are quantities that are fully described by a magnitude (or numerical value) alone.
• Vectors are quantities that are fully described by both a magnitude and a direction.
• area is NOT a vector. But it can be "represented" by one. If you are dealing with planar regions in three dimensions, then it can be convenient to represent the "area" as a vector whose length is the actual scalar area and whose direction is perpendicular to the plane.

Physics Teacher

Yes, It is a Vector quantity,If you are dealing with physics problems where a volume is enclosed by a closed surface. Especially when we are having a vector field like electric field and magnetic field enclosed in a closed surface. we define a quantity called flux which is related to number of lines...

Yes, It is a Vector quantity,If you are dealing with physics problems where a volume is enclosed by a  closed surface. Especially when we are having a vector field like electric field  and magnetic field enclosed in a closed surface. we define a quantity called flux which is related to number of lines of force of the field passing through the surface area. we have to consider area as a vector quantity as we change the angle or orientation of the surface area the number of lines of force change significantly. It is possible that the lines of force crossing the area become zero in some orientation. so to include the effect of angle and orientation from a perticular reference we need to consider area as vector quantity. We can look it up in Gauss divergence theorem.

Commoly area is a scalar quantity because there is no need of direction to define and also follow the algebrac summation. When we talk about vector there exist a frame of reference with a certain origin. Dealing with physical quantity, which depends upon area, we have to treat area as vector field which...

Commoly area is a scalar quantity because there is no need of direction to define and also follow the algebrac summation. When we talk about vector there exist a frame of reference with a certain origin. Dealing with physical quantity,  which depends upon area, we have to treat area as vector field which is known as areal vector. Still only area is a scalar.

Area can be represented as a vector quantity because it has both magnitude and direction. The direction of area vector of a surface is along the perpendicular to the surface.

Tutor

Yes, scalar and Yes, vector depending on the situation. CASE-1 Let us take example for SCALAR: A human being wants to find out area of his farm. Then, area is scalar. But, why NOT VECTOR? It is because of the logic that we define things depending on the context. Here, why would you require direction...

Yes, scalar and Yes, vector depending on the situation.

CASE-1

Let us take example for SCALAR:

A human being wants to find out area of his farm. Then, area is scalar.

But, why NOT VECTOR?

It is because of the logic that we define things depending on the context. Here, why would you require direction of an area. So, here we define area as a SCALAR quantity.

CASE II: VECTOR

In electromagnetism, we often require the direction of a loop, say if a conducting wire on a surface has current flowing through it in CLOCKWISE direction then it has area VECTOR pointing inwards i. e. into the plane of paper. Whereas, when we flip the wire so that the current flows in ANTI CLOCKWISE direction, then the area VECTOR points outwards i. e. outside plane of the paper. In this case, area is a vector.

Assistant Professor

Area is scalar/vector quantity in Vector Algebra domain Of Mathematics. Bcoz. A. B= ABCosα gives out scalar area (without direction) but, AxB=ABSinα gives out vector area (directional vector perpendicular to both vectors A and B).

Physicists

Area is not a vector quality.... but it could be considered as a vector if u can associate some direction perpendicular to its normal....hence given a special name area vector

Physics & Maths Expert

Area Vector has direction along the outward unit vector normal to the surface. Its magnitude is equal to the actual area of the surface. In electrostatics and and magnetostatics we take ares as a vector quantity.

CBSE JEE NEET B.TECH Teacher with an experience of 20+ years

The area is a scalar quantity in geometry and mensuration. In physics, we associate direction with the area and treat it as a vector quantity to understand electric and magnetic flux concepts.

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