Mathematics · Vector Algebra
Let vector a = i + 2j - 3k and vector b = 2i - 3j + 5k. If vector r × vector a = vector b × vector r, vector r · (αi + 2j + k) = 3 and vector r · (2i + 5j - αk) = -1, where α is a real number, then the value of α + |vector r|2 is equal to:
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