# What is vector multiplication?

Vector multiplication is one of several techniques for the multiplication of two vectors with themselves. A vector has a magnitude and direction.

### Vector division is not possible why?

In the case of the dot product, you would need to find a vector which, multiplied by another vector, gives a certain real number. This vector is not uniquely defined; several different vectors could be used to give the same result, even if the other vector is specified. For the other two common multiplications defined for vector, the inverse of multiplication, i.e. the division, can be clearly defined. In the case of the dot product…

### 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 is the column vector?

In mathematics a vector is just a one-dimensional series of numbers. If the vector is written horizontally then it is a row vector; if it's written vertically then it's a column vector. Whether a vector is a row or a column becomes significant usually only if it is to figure in multiplication involving a matrix. A matrix of m rows with n columns, M, can multiply a column vector, c, of m rows, on the…

### What does the x stand for in maths?

At the lower levels it stands for multiplication, at more advanced levels it stands for the cross product of vector multiplication (in three or seven dimensions). The multiplication operator can also be a dot on the line ( . ), a dot above the line ( 𝆴 ), an asterisk ( * ), and probably some other symbols as well.

### 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.

### Why are some vectors pseudo vectors and some real vectors?

Answer: There are no "pseudo vectors" there are pseudo "rules". For example the right hand rule for vector multiplication. If you slip in the left hand rule then the vector becomes a pseudo vector under the right hand rule. Answer: A pseudo vector is one that changes direction when it is reflected. This affects all vectors that represent rotations, as well as, in general, vectors that are the result of a cross product.

### Why do you define a null vector although it has no magnitude and it may have an arbitrary direction?

### What is scalar and vector product?

The scalar product of two vectors, A and B, is a number, which is a * b * cos(alpha), where a = |A|; b = |B|; and alpha = the angle between A and B. The vector product of two vectors, A and B, is a vector, which is a * b * sin(alpha) *C, where C is unit vector orthogonal to both A and B and follows the right-hand rule (see the related link)…