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No. A vector is actually a first order tensor as opposed to all tensors being vectors (vector quantities could be considered a subset of the set of all tensor quantities) because if you were to take a vector in three spatial dimensions A it can be defined by the equation A=A1e1+A2e2+A3e3 and also follows the tensor transformation laws given by A'i=αi'kAk for instance. Tensors however are actually more generalised objects which include vectors, scalars (zeroth order tensors) and more complicated systems.
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Is every vector is a tensor and vice-versa?
A digital answer that is with yes or no will not help, so recall the defnition of vector being a quantity which has both magnitude and single direction .Tensor is a quantity of multi-directions. Vector is unidirectional quantity. Tensor is omnidirectinal quantity. So a vector could be viewed as a special case of tensors . Mohammed Khalil - Jordan
What are tensors?
A vector is a group of numbers in one dimensions; if you have such arrangements of numbers in more than one dimension, you get a tensor. Actually, a vector is simply a special case of a tensor (a 1st-order tensor).
Is force a tensor?
no,Force is vector quantity
What is difference between vector and tensor?
Tensors are simply arrays of numbers, or functions, that transform according to certain rules under a change of coordinates. Scalars and vectors are tensors of order 0 and 1 respectively. So a vector is a type of tensor. An example of a tensor of order 2 is an inertia matrix. And just for fun, the Riemann curvature tensor is a tensor of order 4.
Is Inertia vector or scalor?
Inertia is a tensor quantity, which means it has both magnitude and direction. It is not solely a vector or scalar.
Which physical quantity is obtained when acceleration is differentiated with respect to time is it a scalar or vector or tensor?
For differentiation, you have to divide a vector by a scalar. Therefore, you should get a vector.
Is stress is scalar quantity or vector quantity?
Stress is tensor quantity. The stress tensor has 9 components. Each of its components has a magnitude (a scalar) and two directions associated with it.
An arrow that represets the magnitude and direction of a physical quantity on a diagram is called a tensor?
It's called a vector
Is stress scalar or vector quantity?
Stress is tensor quantity. The stress tensor has 9 components. Each of its components has a magnitude (a scalar) and two directions associated with it.
Can stress be resolved into horizontal and vertical components?
Force can be resolved into horizontal and vertical components using vector analysis. However stress cannot be resolved into horizontal and vertical components using vector analysis since it is not a vector but a tensor of second order.
Why pressure is a scalar quantity while stress is a vector?
For specifying pressure u need only magnitude, but for specifying stress u need magnitude,direction and plane Remember stress is not a vector but it is 2nd order tensor..........
What is the difference between tensors and matrices?
A scalar, which is a tensor of rank 0, is just a number, e.g. 6 A vector, which is a tensor of rank 1, is a group of scalars, e.g. [1, 6, 3] A matrix, which is a tensor of rank 2, is a group of vectors, e.g. 1 6 3 9 4 2 0 1 3 A tensor of rank 3 would be a group of matrix and would look like a 3d matrix. A tensor is the general term for all of these, and the generalization into high dimensions.
