\"\"

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The points of triangle are \"\".

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Let u be the vector from \"\" to \"\" as follows:

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\"\"           (Write component form of vector)

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\"\"                           (Substitute: \"\")

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\"\"                                                 (Simplify)

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\"\" (Write magnitude formula)

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\"\"                                     (Substitute: \"\")

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\"\"                                                  (Simplify)\"\"

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Let v be the vector from \"\" to \"\" as follows:

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\"\"              (Write component form of vector)

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\"\"                                        (Substitute: \"\")

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\"\"                                                (Simplify)

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\"\"    (Write magnitude formula)

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\"\"                                    (Substitute: \"\")

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\"\"                                                     (Simplify)\"\"

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Let w be the vector from \"\" to \"\" as follows:

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\"\"           (Write component form of vector)

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\"\"                                (Substitute: \"\")

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\"\"                                         (Simplify)

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\"\" (Write magnitude formula)

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\"\"                              (Substitute: \"\")

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\"\"                                                  (Simplify)\"\"

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The vectors are \"\".

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The angle C between these vectors is \"\".

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\"\"                                      (Apply dot product: \"\")

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\"\"                         (Substitute \"\")

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\"\"                                         (Simplify)

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\"\"                                                   (Simplify)

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\"\"                                             (Multiply each side by \"\")

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\"\"                                                      (Use calculator)\"\"

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The vectors are \"\".

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The angle B between these vectors is \"\".

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\"\"                                  (Apply dot product: \"\")

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\"\"                  (Substitute

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\"\")

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\"\"                                       (Simplify)

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\"\"                                                    (Simplify)

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\"\"                                              (Multiply each side by \"\")

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\"\"                                                       (Use calculator)

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The remaining angle \"\".\"\"

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The interior angles of triangle are \"\".