# What does it mean that direction of the resultant of cross product of two vector will be in a perpendicular direction to the plane of the vectors?

For example, moment of a force is represented as r × F. How is then the resultant in that direction ?

• in this case this is simple: the resultant vector is parallel to the axis about which the object will rotate. – ZeroTheHero Jun 23 '17 at 2:55

Imagine the two vectors as pointed sticks. There is only one plane in which both sticks are tangent to the plane (they do not stick out of the plane). This is the plane that is said to be formed by the two vectors. The cross product of those two vectors is perpendicular to that plane. For example if the two vectors are horizontal, then the cross product must be vertical (directly up or directly down); if the two vectors are in the $xz$ plane, then their cross product must be in the $+y$ or $-y$ direction.