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IN WHICH DIRECTION DOES THE RESULTANT VECTOR AFTER CROSS PRODUCT,DIRECTS?90 DEGREE PARALLEL OR PERPENDICULAR TO THE VECTORS BEFORE CROSS PRODUCT??

IN WHICH DIRECTION DOES THE RESULTANT VECTOR AFTER CROSS PRODUCT,DIRECTS?90 DEGREE PARALLEL OR PERPENDICULAR TO THE VECTORS BEFORE CROSS PRODUCT??

Grade:11

1 Answers

Ramesh V
70 Points
12 years ago


The cross product of a and b, written a x b, is defined by:
a x b = n a b sin q
where a and b are the magnitude of vectors a and b; q is the angle between the vectors, and n is the unit vector (vector with magnitude = 1)
that is perpendicular (at 90 degrees to/ orthogonal to/ normal to) both a and b.

But there are two vectors that this could be - one on either side of the plane formed by the two vectors), so we choose n to be the one which
makes (a, b, n) a right handed triad.


7872-1356_5850_crossProduct.gif

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regards

Ramesh

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