# Multiplication of a vector by a scalar?

When a scalar quantity(if it has positive magnitude) is multiplies by a vector quantity the product is another vector quantity with the magnitude as the product of two vectors and the direction and dimensions same as the multiplied vector quantity

e.g. MOMENTUM

### Is power a vector quantity?

Work is a scalar quantity. For a constant force applied in a constant direction, it is equal to the dot product (also known as the inner product or the scalar product) of the force vector with the displacement vector. The result of taking the dot product is a scalar, not a vector. (That is, the multiplication sign you have in your definition of work is not an "ordinary" multiplication sign. "Ordinary" multiplication is not an…

### What are the vector and scalar fields?

In mathematics, a field is a set with certain operators (such as addition and multiplication) defined on it and where the members of the set have certain properties. In a vector field, each member of this set has a value AND a direction associated with it. In a scalar field, there is only vaue but no direction.

### Which are the scalar quantities?

A scalar quantity is a non-vector quantity. In a vector quantity, direction is relevant. In a scalar quantity, it is not. For example, mass (measured in kg.) is a scalar; force is usually indicated as a vector (magnitude in Newton, but the direction is also relevant). A scalar quantity is a non-vector quantity. In a vector quantity, direction is relevant. In a scalar quantity, it is not. For example, mass (measured in kg.) is a…

### What happens when a scalar and vector are multiplied?

A scalar times a vector yields another vector. The new vector has the same direction as the original vector and the new magnitude is equal to the product of the old magnitude and the scalar. (Of course, if the scalar is a negative quantity, we understand that the new vector then points in the opposite direction as the original and the new magnitude is the absolute value of the product of the scalar and the…

### Why is it impossible to add a scalar to a vector?

It is not impossible to add a scalar to a vector. e.g. e^ix = cos(x) + isin(x) when x is 0 the answer is a scalar, when x=90 degrees the answer is a vector, when x is not a multiple of 90 degrees the answer is the sum of a scalar and a vector. So it is only impossible to add a scalar to a vector when x is a multiple of 90 degrees, all…

### What is acceleration a scalar or vector quantity?

A vector. Acceleration is defined as change in velocity in a given time, in symbols a = ( v - u ) / t (the bolded symbols represent vectors) t is a scalar so its inverse is also a scalar. ( v - u ) is a vector so a = vector * scalar = a vector. Answer2: Acceleration like many quantities is a Quaternion, consisting of a scalar part and a vector part. a=…