what is difference between scalar vector and tensor quantity???
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Any quantity that has both magnitude and direction is called a vector. Velocity, acceleration, and force are a few examples of mechanical vectors. if you want to change only the magnitude of a vector without changing its direction, you will go for the multiplication of the vector with ascalar quantity.
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Any quantity that has both magnitude and direction is called a vector. Velocity, acceleration, and force are a few examples of mechanical vectors.
if you want to change only the magnitude of a vector without changing its direction, you will go for the multiplication of the vector with a scalar quantity.
In case you want to create a new vector with a different magnitude as well as direction (than the initial vector) then you have to multiply the initial vector with another type of mathematical entity called a tensor.
The tensor is a more generalized form of scalar and vector. Or, the scalar, vector are the special cases of tensor.
If a tensor has only magnitude and no direction (i.e., rank 0 tensor), then it is called scalar.If a tensor has magnitude and one direction (i.e., rank 1 tensor), then it is called vector.If a tensor has magnitude and two directions (i.e., rank 2 tensor), then it is called dyad.And so on...Tensor is the generalized form of vectors and scalars. All matrixes cannot be a tensor unitary; to be a tensor the matrix elements must follow certain relations among each other. A vector can be rotated by multiplying it by a rotation matrix.
Any quantity that has both magnitude and direction is called a vector. Velocity, acceleration, and force are a few examples of mechanical vectors.
if you want to change only the magnitude of a vector without changing its direction, you will go for the multiplication of the vector with a scalar quantity.
In case you want to create a new vector with a different magnitude as well as direction (than the initial vector) then you have to multiply the initial vector with another type of mathematical entity called a tensor.
The tensor is a more generalized form of scalar and vector. Or, the scalar, vector are the special cases of tensor.
If a tensor has only magnitude and no direction (i.e., rank 0 tensor), then it is called scalar.If a tensor has magnitude and one direction (i.e., rank 1 tensor), then it is called vector.If a tensor has magnitude and two directions (i.e., rank 2 tensor), then it is called dyad.And so on...Tensor is the generalized form of vectors and scalars. All matrixes cannot be a tensor unitary; to be a tensor the matrix elements must follow certain relations among each other. A vector can be rotated by multiplying it by a rotation matrix.
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