What does A . A, the scalar product of a vector with itself, give? What about A x A, the vector product of a vector with itself?

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Answers (5)

samiya 10-10-2012
samiya - University of Lucknow
The scalar product of a vector A with it self is equal to A (square) While the vector product of vector A with itself is equal to zero
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dhirendra 28-01-2013
dhirendra - Aligarh Muslim University
In both cases zero. The magnitude of the cross product is given by the product of the magnitudes of the two vectors times the sine of the angle between them. In the event that the two vectors are equal, the angle between them is 0, and where the two vectors are opposite, the angle between them is π. In either case, the sine of the angle is 0, so the magnitude of the cross product is 0, making it the zero vector.
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