Explanation The dot production of two vectors is a scalar quantity. It may be positive or a negative number. Write the vector A → in unit vector form. A → = A x i ^ + A y j ^ + A z k ^ Write the vector B → in unit vector form. B → = B x i ^ + B y j ^ + B z k ^ Take the dot product of vector A → and B → as, A → ⋅ B → = ( A x i ^ + A y j ^ + A z k ^ ) ⋅ ( B x i ^ + B y j ^ + B z k ^ ) = { [ ( A x B x ) ( i ^ ⋅ i ^ ) + ( A x B y ) ( i ^ ⋅ j ^ ) + ( A x B z ) ( i ^ ⋅ k ^ ) ] + [ ( A y B x ) ( j ^ ⋅ i ^ ) + ( A y B y ) ( j ^ ⋅ j ^ ) + ( A y B z ) ( j ^ ⋅ k ^ ) ] + [ ( A z B x ) ( k ^ ⋅ i ^ ) + ( A z B y ) ( k ^ ⋅ j ^ ) + ( A z B z ) ( k ^ ⋅ k ^ ) ] } From the definition of dot product of unit vectors, i ^

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Schrödinger equation

Schrödinger equation is a prominent equation in quantum mechanics. This equation is used to predict the behavior of quantum states or quantum particles. In quantum mechanics, the particles are treated as waves. A quantity called wave function is used to …

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Chapter 7, Problem 5P

To determine

The scalar product for any two vectors A→ and B→.

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