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A scalar times a vector is a vector.

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13y ago

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What is the significance of the divergence of a scalar times a vector in the context of vector calculus?

The significance of the divergence of a scalar times a vector in vector calculus is that it simplifies to the scalar multiplied by the divergence of the vector. This property is important in understanding how scalar fields interact with vector fields and helps in analyzing the flow and behavior of physical quantities in various fields of science and engineering.


Is inertia is a scalar or vector?

vector


Multiplying or dividing vectors by scalars results in?

Vectors. A scalar times a vectro is a vector. A vector times a vector is a scalr if the vectros are parallel v1.v2 = scalar. A vector times a vector is a vector if the vectors are perpendicular. Other wise a vectro times a vector is both a scalr and a vector, v1v2 = -v1.v2 + v1xv2 = -v1v2cos(x) + vqv2sin(x). If cos(x) =0 then perpendicular if sin(x)=0 then parallel. In general the product of two vectors is a quaternion the sum of a scalar and a vector. The Universe is composed of quaternions. Science and Physics has failed to appreciate that the numbes of the universe are quaternions, the sum of a scaltr and a vector. Hamilton invented quaternions in 1843.


Can you add a scalar to a vector?

Yes, you can add a scalar to a vector by adding the scalar value to each component of the vector.


Is it possible to multiply a vector quantity to a scalar quantity?

The product of scalar and vector quantity is scalar.


Why vector divided by scalar is equal to vector?

It helps to understand division as the opposite of multiplication. In this case, v / s = x; a vector divided by a scalar is something unknown. Turn this around, into a multiplication: x times s = v. In other words: What must I multiply by a scalar to get a vector?


Is time a scalar or a vector?

Scalar


Multiplying or dividing vectors by scalars results in what?

When multiplying a vector by a scalar, each component of the vector is multiplied by the scalar. This operation changes the magnitude of the vector but not its direction. Similarly, dividing a vector by a scalar involves dividing each component of the vector by the scalar.


Is earthquake a scalar or vector?

An earthquake is neither a scalar nor a vector. It is an event.


Is power a vector or scalar?

vector


Is charge scalar or vector?

vector


Why work is scalar but product of two vector?

The product of two vectors can be done in two different ways. The result of one way is another vector. The result of the other way is a scalar ... that's why that method is called the "scalar product". The way it's done is (magnitude of one vector) times (magnitude of the other vector) times (cosine of the angle between them).