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# Tag Archives: vector product

## What is the answer if vector A is multiplied with vector B?

In vector multiplication, there are two types of multiplication: One in which the result is a scalar and the other in which the result is a vector.

Accordingly the two types of products of vectors are:

Scalar product (also called dot product) denoted by**A.B**

Vector product (also called cross product) denoted by **AxB**

**A.B ** = AB cos Θ, where Θ is the angle between the directions of **A** and **B**

The physical meaning of dot product is that, “*The product of the magnitude of one vector and the magnitude of the component of the other vector in the direction of the first vector*.”

**AxB **= AB sinΘ

The direction of cross product is given by right hand cork screw rule

## Difference between Scalar Product and Vector Product

“What is the difference between dot product and cross product?” [The question was posted by Salman)

## Examples of scalar product and vector product

Kashan asks:

“will you give me min 10 examples 0f scalar product and vector product known at xii level”

I am just strating the list; members please contribute more as comments

**Scalar Product**

- work
**F.s** - Power
**F.v** - Potential energy of a dipole
**P.E**

**Vector Product**

- Torque on a dipole =
**PxE** - Lorentz magnetic force F=q
**vxB** - Torque =
**rxF**

## Difference between dot product and cross product

Shashi Kant asked:

“What is difference between cross product and dot product?”

Answer:

If the product of two vectors is a scalar quantity it is called scalar product or dot product.

If the product of two vectors is a vector quantity it is called vector product or cross product.