A vector has magnitude (how long it is) and direction. Two vectors can be multiplied using the "Cross Product". The Cross Product a×b of two vectors is another vector that is at right angles to both and it all happens in 3 dimensions.

Hi,

A vector product or cross product is the product of two vectors in three dimension which is itself a vector at right angle to the both original vectors. Its magnitude is the product of magnitudes of the original vectors and the sine of the angles between their directions. It is denoted by axb or a^b.

You can check in details in your refernce books or watch the lectures on youtube. 

All the best!!