# What is the difference between the cross-product and the dot-product of two vectors? or If a force of 10 Newtons at an angle of #30^circ# above horizontal is used to drag a block 6 meters, how much work is done?

##### 2 Answers

**The Cross Product is a vector**

If A and B are vectors

then

where

and

**The Dot Product is a scalar**

If A and B are vectors such that

and

then

it can also be evaluated as

where

Work is a dot product.

It is given as:

Where:

The result is a SCALAR (basically a quantity without vectorial characteristics) and is measured in Joules (J).

To evaluate it you do:

where you multiply the modulus of your vectors times the cosine of the angle between them.

For example:

Hope it helps.