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The scalar product of the vector i + j + k with a unit vector along the sum of vectors 2i + 4j - 5k

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The scalar product of the vector  i + j + k with a unit vector along the sum of vectors 2i + 4j - 5k and λi + 2j + 3k is equal to one. Find the value of λ.

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The scalar product of i + j + k with this unit vector is 1.

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