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

Mention Fleming's right-hand rule.
The thumb will point in the direction of the magnetic force, the forefinger will point in the direction of the magnetic field, and the middle finger will point in the direction of the current, according to Fleming's Right-Hand Rule, if we arrange the thumb, forefinger, and middle finger on our right hand perpendicular to one another.
When a conductor moves in a magnetic field, Fleming's right-hand rule is used to determine the direction of the induced current.
Electric generators are subject to the Fleming right-hand rule.
1. The direction of the vector created by the cross product of two vectors is determined using the right-hand thumb rule.
2. Find the cross product between a and b, $\stackrel{\to <!--\; \to \; -->}{a}\times <!--\; \times \; -->\stackrel{\to <!--\; \to \; -->}{b}=\stackrel{\to <!--\; \to \; -->}{c}$, as a vector c is perpendicular (orthogonal) to both the vectors,
3. The magnitude of $\stackrel{\to <!--\; \to \; -->}{a}\times <!--\; \times \; -->\stackrel{\to <!--\; \to \; -->}{b}$ equals the area of the parallelogram made up of vectors a and b, as well as the direction of the resulting vectors determined by using the right-hand rule.
4. The directional difference between two vectors is revealed by the cross product.
Use the following steps to use the right-hand rule:
First, hold up your right hand and make sure it's not your left,
1. Your index finger should be pointed in the first vector's direction, $a\to$
2. Point your middle finger in the direction of the second vector, let $\stackrel{\to <!--\; \to \; -->}{a}$
3. The direction of the cross product is shown by the thumb point.
4. Recall that: $\stackrel{\to <!--\; \to \; -->}{a}\times <!--\; \times \; -->\stackrel{\to <!--\; \to \; -->}{b}\ne <!--\; \ne \; -->\stackrel{\to <!--\; \to \; -->}{b}\times <!--\; \times \; -->\stackrel{\to <!--\; \to \; -->}{a}$