Consider two vectors →A=Ax^i+Ay^j+Az^k and →B=Bx^i+By^j+Bz^k. Scalar product of these two vectors can be found out by following two different formulae. →A⋅→B=AxBx+AyBy+AzBz. →A⋅→B=ABcosϕ Prove that the above two formulae for scalar product of vectors are equivalent.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Consider two vectors →A=Ax^i+Ay^j+Az^k and →B=Bx^i+By^j+Bz^k. Scalar product of these two
vectors can be found out by following two different formulae.

→A⋅→B=AxBx+AyBy+AzBz.

→A⋅→B=ABcosϕ

Prove that the above two formulae for scalar product of vectors are equivalent.

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