The scalar product of the vector →a=^i+^j+^k with a unit vector alon – InterviewSolution

1.	The scalar product of the vector →a=^i+^j+^k with a unit vector along the sum of vectors→b=2^i+4^j−5^k and →c=λ^i+2^j+3^k is equal to one. Find the value of λ and hence find the unit vector along →b+→c.
Answer» The scalar product of the vector $\to a =^i +^j +^k$ with a unit vector along the sum of vectors $\to b = 2^i + 4^j - 5^k and \to c = λ^i + 2^j + 3^k$ is equal to one. Find the value of $λ$ and hence find the unit vector along $\to b + \to c$ .

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