The resultant vector from the cross product of two vectors is _____________

option (2)

CONCEPT:

• Vector Product: It is also known as a cross-product whose magnitude is equal to the products of the magnitude of two vectors and sine of the angle between them.

Mathematically it is written as: 

 × = (A B sinθ)  

Where θ is the angle between a vector  and  

EXPLANATION:

• The vector product should be perpendicular to both the vectors involved in the cross product.

As shown in the figure, we can see that the magnitude | ×  | of two vectors  and    is perpendicular to both vectors involved in the cross products.

• Hence, option (2) is correct.

Additional Information 

Rules for determining the direction of |× |  

• Right-handed screw rule as shown in the figure if a right-handed screw is placed within its axis perpendicular to the plane of the vectors and  

 to  through the smaller angle, then the direction in which the screw advances gives the direction of ×