define scalar product of two vectors. prove that. A vector×B vector=Ax×Bx+Ay×By+Az×Bz
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The scalar product of two vectors can be constructed by taking the component of one vector in the direction of the other and multiplying it times the magnitude of the other vector. This can be expressed in the form: ... The scalar product is also called the "inner product" or the "dot product" in some mathematics texts.
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