Question

How do you use the right hand rule for cross product?

Answer 1

Hint: This question is based on the concept of cross product. Cross product is defined as a binary operation on any two vectors in a three-dimensional space. Cross product results in a vector that is perpendicular to both the vectors.

Complete answer:
Cross product can also be defined as a form of vector multiplication, performed between two vectors of different nature or kinds. The cross product of two vectors is the third vector that is perpendicular to the two original vectors. The magnitude of this resultant vector is given by the area of the parallelogram between them.
The magnitude of the vector product can be given as,
 $ \left| {\overrightarrow c } \right| = \left| a \right|\left| b \right|\sin \theta $
Where $ a $ and $ b $ can be known as the magnitudes of the vector and $ \theta $ is equal to the angle between these two vectors.
The vector product of the two vectors follows the distributive property but does not follow the commutative property.
This means that $ a \times (b + c) = a \times b + a \times c $
But, $ a \times b \ne b \times a $
Now to find out the direction of the resultant vector is found by the right hand thumb rule. The right hand thumb rule states that if we point our index finger along vector $ A $ and middle finger along vector $ B $ , then the thumb signifies the direction of the resultant vector.

Note:
For cross product, we use the symbol large diagonal cross $ ( \times ) $ to represent this operation, that is where the name "cross product" for it comes from. Cross product is also known as vector product because when cross product of two vectors is done, then the resultant is also a vector.