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A force has a magnitude of 10 newtons what other information is needed to have a complete description of its properties as a force?
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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.
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