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both physical quantities can be differentiate by a direction A quantity having direction is vector and having no direction is scalar

for example force, acceleration, velocity are vector

while mass, time, distance etc are scalars

Answer 2: You understand scalar and vector quantities by understanding Quaternions. A Quaternion consists of a scalar w and three vectors (Ix + Jy + kz),

Q=w + Ix +Jy + kz = w + V = Q[ cosA + 1V sinA ].

Scalars have even multiple of 90 degrees, vectors have odd multiples of 90 degrees. All other angles give the sum of a scalar and a vector or a Quaternion.

Most quantities are quaternions and can be scalar and vector and both; e.g. force, velocity, Electromagnetic fields,etc.

The angle determines a scalar, a vector or both a Quaternion. Bosons are scalars and Fermions are vectors, all are Quaternions.

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