Rotation is a vector having a direction and magnitude.
counterclockwise
y=tanx cannot be expressed as a Fourier series, since it has infinite number of infinite discontinuity. Dirichlet’s condition or the sufficient condition for a function f(x) to be expressed as a Fourier series. - f(x) is single valued, finite and periodic. - f(x) has a finite number of finite discontinuities. f(x) has a finite number of maxima and minima. - f(x) has no infinite discontinuity.
Simply put, a vector is 2 dimensional. Think of speed - it is only one dimensional. It is not a vector, it is a scalar. It is measured in a scale, most commonly noticed when inside a vehicle. You are travelling at 100km/h (60mph) Vectors are 2 dimensional, they have a magnitude and a direction. Think of velocity, as an arrow - imagine you are travelling at 60 mph in a northerly direction, your arrow would be pointing to the notth, with a magnitude of 60mph, If you were travelling at 60mph in a southerly direction, your velocity vector would be pointing towards the south, the exact opposite of your vector if you were travelling in a northerly direction. However the speed in these two scenario's, speed not being a vector, remains exactly the same, 60mph.
1/4 of 360 degrees = 90 degrees which is a right angle
Rotation is a vector having a direction and magnitude.
No no its a true vector for infinite angular displacement
No no its a true vector for infinite angular displacement
counterclockwise
A psuedovector is a vector that transform in a proper rotation, but in three dimensions it gains an additional sign flip because of an improper rotation.
Yes. The "direction" of the vector is along the axis of rotation.Yes. The "direction" of the vector is along the axis of rotation.Yes. The "direction" of the vector is along the axis of rotation.Yes. The "direction" of the vector is along the axis of rotation.
The Earth's angular velocity vector due to its axial rotation points towards the north pole.
An affine group is the group of all affine transformations of a finite-dimensional vector space.
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.
Duc T. Nguyen has written: 'Parallel-vector equation solvers for finite element engineering applications' -- subject(s): Differential equations, Parallel processing (Electronic computers), Finite element method, Numerical solutions 'Parallel-vector unsymmetric Eigensolver on high performance computers'
Up out of the north pole. (And down into the south pole.)
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