why is the significance of scalar and dot product
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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