ORExplain the cross product of two vectors. Give its examples and prop

1.	ORExplain the cross product of two vectors. Give its examples and properties.
Answer» The vector product of two vectors a and b is given by a vector whose magnitude is given by\|a\|\|b\|sinθ(where0∘≤θ≤180∘), which stands for the angle between the two vectors. Note that the direction of the resultant vector is denoted by a unit vector^nwhose direction is perpendicular to both the vectorsaandbin a way thata, band^nare oriented in right-handed system. Right-handed orientation happens when vectorais twisted in the direction of vectorb, then the direction of the unit vector^ngoes in the direction in which a right-handed screw would spin if moved in a similar manner. Also, these given vectorsaandbcannot be called null vectors or non-parallel in nature. The right-hand thumb rule gives a clear picture of the direction of the resultant vector.

ORExplain the cross product of two vectors. Give its examples and properties.

Answer»

The vector product of two vectors a and b is given by a vector whose magnitude is given by|a||b|sinθ(where0∘≤θ≤180∘), which stands for the angle between the two vectors. Note that the direction of the resultant vector is denoted by a unit vector^nwhose direction is perpendicular to both the vectorsaandbin a way thata, band^nare oriented in right-handed system.

Right-handed orientation happens when vectorais twisted in the direction of vectorb, then the direction of the unit vector^ngoes in the direction in which a right-handed screw would spin if moved in a similar manner. Also, these given vectorsaandbcannot be called null vectors or non-parallel in nature. The right-hand thumb rule gives a clear picture of the direction of the resultant vector.

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