Write a short note on vector product between two vectors.

1.	Write a short note on vector product between two vectors.
Answer» The vector product or cross product of two vectors is defined as another vector having a magnitude equal to the product of the magnitudes of two vectors and the sine of the angle between them. The direction of the product vector is perpendicular to the plane containing the two vectors, in accordance with the right hand screw rule or right hand thumb rule. Thus, if \(\vec A\) and \(\vec B\) are two vectors, then their vector product is written as \(\vec A\)x \(\vec B\) which is a vector C defined by \(\vec c\) = \(\vec A\)x \(\vec B\) =(AB sin 0) \(\hat n\) The direction \(\hat n\) of \(\vec A\)x \(\vec B\), i.e., \(\vec c\) is perpendicular to the plane containing the vectors \(\vec A\) and \(\vec B\).

Answer»

The vector product or cross product of two vectors is defined as another vector having a magnitude equal to the product of the magnitudes of two vectors and the sine of the angle between them. The direction of the product vector is perpendicular to the plane containing the two vectors, in accordance with the right hand screw rule or right hand thumb rule. Thus, if \(\vec A\) and \(\vec B\) are two vectors, then their vector product is written as \(\vec A\)x \(\vec B\) which is a vector C defined by \(\vec c\) = \(\vec A\)x \(\vec B\) =(AB sin 0) \(\hat n\)

The direction \(\hat n\) of \(\vec A\)x \(\vec B\), i.e., \(\vec c\) is perpendicular to the plane containing the vectors \(\vec A\) and \(\vec B\).

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