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Cross product of vectors

Om Prakash Mishra
24/09/2018 0 0

Vector or Cross product of vectors 

It is defined as product of magnitude of the vectors and sine of the angle between them it is a vector quantity.

For two vectors A and

A × B = |A||B| SinTn 

where T is the  angle between the vectors and B. and n is unit normal vector perpendicular to both and B. 

This product is a vector quantity again which is in a plane perpendicular to both the given vectors.

• It is not anticommutative. i.e. A×B =-B×A. 

If i, j, k are unit vectors along X, Y, Z axis respectively then .

i×i = j×j = k×k = 0.

i×j = k

J×k = i

k×i = j

j×k = -k

k×j =-i

i×k =-i.

 

 

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