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Cross Product of Two Vectors

CROSS PRODUCT OF TWO VECTORS 

In many situation the product of two vectors may yield vector-quantity. This type of  product is cross product of vectors. The cross product of vectors A and B is given by  C  where C is a vector perpendicular to the plane containing A and B . The  direction of C can be determined by right hand screw rule.  The magnitude of C is given by

As per Fig. 2.10, we have

Distributive law is applicable for cross product

Cross Product of unit vectors

Fig .2.11 (a)                                                          fig .2.11 (b) 

 here θ =00   ,         [sin 00=0]

Then

=(Ay B z – A z  B y  )  I  +( A z  B x  -Ax  B z  )  J  +(Ax  By  -  Ay  B x) K