Because scalars do not take in the direction but just the magnitude while vectors can. You can add vectors ONLY if they are in the same direction.
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A measurement without direction, meaning that it is only a magnitude (as opposed to vector which has magnitude and direction). E.g, a speed of 5km/h is a scalar while a velocity of 19m/s west is a vector.Scalars are a type of number that have size (but not direction like vectors).
No. Because vectors have direction as well as magnitude, you must take the direction into account when you add them. Example: Vector A parallel to [0,0; 0,4] Vector B parallel to [0,0; 3,0] These vectors are at right angles to each other Vector A has a magnitude of 4, Vector B an magnitude of 3. A + B = has a magnitude of 5, parallel to [0,0;3,4]
The method in adding vectors is "add like components to likes".For example A= Ia1 + Ja2 + Ka3 and B= Ib1 + Jb2 + Kb3 added is :A+B= I(a1 +b1) + J(a2 + b2) + K(a3 + b3).I, J and K are the vector components.Physics really involves vectors V and scalars S called Quaternions Q=S +V.The method is the same but now likes include vectors and scalars.Q1 + Q2 = (S1 +S2) + (V1 + V2).
You add or subtract only the numerators
no, to add and subtract like and unlike fractions the denominator has to be the same,