If the scalar is
> 1 the resultant vector will be larger and in the same direction.
= 1 the resultant vector will be the same as the original vector.
between 0 and 1 the resultant vector will be smaller and in the same direction.
= 0 the resultant vector will be null.
If the scalar is less than 0, then the pattern will be the same as above except that the direction of the resultant will be reversed.
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It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.
A scalar times a vector is a vector.
The product of two vectors can be done in two different ways. The result of one way is another vector. The result of the other way is a scalar ... that's why that method is called the "scalar product". The way it's done is (magnitude of one vector) times (magnitude of the other vector) times (cosine of the angle between them).
Velocity is a vector, and so it has two components -- magnitude (speed) and direction. Speed is a scalar, and it is the magnitude of velocity, a vector.
Scalar