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why is the significance of scalar and dot product


Nandani 17th Dec, 2020
Answer (1)
chinchujoseph1993 27th Dec, 2020

Hello,

A dot product is the same as the scalar product. A dot product is the product of the magnitude of the vectors and the cos of the angle between them and the result is a scalar hence the name scalar product. The name dot product is because of the "." that is often used to designate this operation.

Since the scalar product gives a scalar quantity as the result, so it has only magnitude but no direction.

The physical interpretation of a dot product is that it gives the projection of one vector over the other.

Let vector be represented as ->A and magnitude of ->A is A and vector B be represented as ->B and magnitude of ->B is B,

Then ->A . ->B= It is the product of magnitude of ->A and that part of ->B which is in the same direction as ->A= A(Bcostheeta) = B(Acostheeta)= It is the product of magnitude of ->B and that part of ->A which is in the same direction as ->B


Good Luck

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