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State the characteristics of the vector product (cross product) of two vectors.

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Characteristics of the vector product (cross product):

i. The vector product of two vectors does not obey the commutative law of multiplication.

ii. The vector product follows the distributive law of multiplications.

iii. For two non-zero vectors \(\overset\rightarrow{A}\) and \(\overset\rightarrow{B}\) inclined at angle θ,

iv. The vector product of a vector with itself (i.e., self product) is equal to zero.

v. The vector product of two vector can be expressed in terms of their components.

vi. The magnitude of cross product of two vectors is numerically equal to the area of a parallelogram whose adjacent sides represent the two vectors.

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