Because a force always acts in a particular direction.
A definition of work W: W = ⌠F∙dsWhere F is a force vector that is dot-multiplying (scalar product) the differentialdisplacement vector dS. The result is the work W, a scalar, done by the force thatproduced the displacement. But notice that the scalar product of both vectors willonly consider the force component that is collinear with the displacement vector.
The five different forces are the derivatives of the Quaternion Energy E=Es + Ev=[Es,Ev] where Es is the Scalar Energy and Ev the vector Energy. Force = XE = [d/dr,Del][Es,Ev] = [dEs/dr -Del . Ev, dEv/dr + Del Es + DelxEv] dEs/dr the scalar derivative of the Scalar Energy, the Scalar Centripetal Force Del.Ev the Divergence of the Vector Energy, the Scalar Centrifugal Force dEv/dr the scalar derivative of the Vector Energy, the Vector Tangent Force Del Es the vector Derivative of the Scalar Energy, the Vector Gradient Force DelxEv the Curl of the Vector Energy, the Vector Circulation Force.
No, it's a vector.
Force is a vector. The direction is relevant.
It's a vector, and I believe it always points upward.
Thrust is a force and a force is a vector quantity having a magnitude and direction
Force is a vector quantity because it has both magnitude and direction.
No other information is needed if the force is a scalar force. Only if one believes that force is only a vector then one would need the direction information. However, it is a wrong to believe that force is only a vector. Force in general is a quaternion. A quaternion can be a scalar or a vector, thus a force can be a scalar or a vector or both. But it is cleaner to think of scalar forces as being in a single direction. Thus the direction of force is implicit, not that it does not matter. A.k.a. a scalar force is a force with an implicit direction while a vector force is a force with an explicit direction. It is cleaner to consider a scalar force as having a direction angle of a multiple of 180 degrees and a vector force having a direction angle a multiple of 90 degrees. Any other angle would be give a scalar and vector, or a quaternion. This is similar to complex numbers, there are real numbers, imaginary numbers and complex numbers. Reals and complex numbers are subsets of quaternions.
vector, power= work/time and work= force * distance, force is vector.
Since torque is a force, and as such has a direction, it is a vector.
No. Force and acceleration are vector quantities.
Both! Force is a quaternion quantity, the sum of a scalar force and a vector force. For example there are two gravitational forces, the scalar force Fs= - GmM d/dr 1/r = GmM/r^2 and the vector force Fv= Del -GmM/r = GmM R/r^3.