Question

explain the vector product of two vectors .show that the vector product does not obey communative law​

Answer 1

Answer:

The vector product of two vectors is also called as the cross product. The resultant of a cross product is always a vector. If two vectors are Ā and B, then their cross product is,

A × B = |A||B|sinØ, where Ø is the angle between the two vectors. The resultant of a cross product is always perpendicular to both vectors A, B.

Now, if the smaller angle between the vectors is Ø, the bigger angle will be 360 - Ø. So,

B × A = |A||B|Sin (360 - Ø)

Now, 360 - Ø would lie in the fourth quadrant. We know that sin is negative in the fourth quadrant.

Therefore,

B × A = -|A||B|sinØ

Thus, we can see that A×B is not equal to B×A. Hence, vector product does not follow the commutative law.