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Calculus and Beyond Homework Help
Use vectors and the dot product to prove the midpoint
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[QUOTE="Stephen Tashi, post: 4994305, member: 186655"] I don't know what the exercise considers "using the dot product". Computing the magnitude of a vector can be regarded as using the dot product. [itex] |A| = \sqrt{ A \cdot A} [/itex]. There is a vector version of the law of cosines: If [itex] C = A + B [/itex] then [itex] |C|^2 = |A|^2 + |B|^2 + 2( A \cdot B) [/itex]. If you set [itex] C = A - B [/itex] then it looks like the law of cosines from trigonometry. [itex] |C|^2 = |A|^2 + |B|^2 - 2( A \cdot B) [/itex]. Whether it is acceptable to use the law of cosines for vectors depends on what's been covered in your course. [/QUOTE]
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Use vectors and the dot product to prove the midpoint
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