Value of A vector × A vector? Explain
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(Please note that following alphabets represent vectors)
We know that, cross(vector) product of two vectors is a third vector whose magnitude is given by the product of magnitude of given vectors multiplied by sin ratio of the smaller angle between them.
Hence, if A and B are the given vectors and ∆ is the angle between them, their cross product is given by:
A×B =ABsin∆
In your case, given two vectors are the same, i.e., A and hence, they are equal in magnitude and angle between them is 0°.
Henceforth, A×A=AAsin0°
=0, since sin0° is zero.
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