Multiplication of Vectors with Scalar

Multiplying a vector a with a constant scalar k gives a vector whose direction is the same but the magnitude is changed by a factor of k. The figure shows the vector after and before it is multiplied by the constant k. In mathematical terms, this can be rewritten as, 

∣��⃗∣=�∣�⃗∣∣kv∣=k∣v∣ 

if k > 1, the magnitude of the vector increase while it decreases when the k < 1.