The scalar product of the vector a⃗  = î + ĵ + k̂ with a unit vector along the sum of the vectors b⃗  = 2î + 4ĵ – 5k̂ and c⃗  = λî + 2ĵ + 5k̂ is equal to 1. Find the value of λ and hence find the unit vector along b⃗  + c⃗ . (All India 2019)


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