Thus if **A** and **B** are two vectors to be multiplied, then there vector or cross product is a vector, say **R**.

The product vector is perpendicular to both the vectors that are multiplied and has a magnitude equal to the product of their magnitudes and the sine of the smaller angle between them.

Direction of the product vector is, though perpendicular to the plane of the vectors to be multiplied, however the exact direction (for example, up or down, or rightwards or leftward) is decided by the Right Hand Rule.

**Right Hand Rule:** Rotate the fingers of your right hand from the side of the vector comes first in the product to the one which comes second in the product. Direction of the extended thumb will be the direction of the product vector. See the following diagram.

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