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

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The scalar product of the vector {{i}}+{{j}}+{{k}}with a unit

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

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Michael Discussed

The scalar product of the vector

\hat{i} + \hat{j} + \hat{k}

with a unit vector along the sum of vector

2 \hat{i} + 4 \hat{j} - 5 \hat{k}

and

λ \hat{i} + 2 \hat{j} + 3 \hat{k}

is equal to one. Find the value of

λ

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Question Text

The scalar product of the vector

\hat{i} + \hat{j} + \hat{k}

with a unit vector along the sum of vector

2 \hat{i} + 4 \hat{j} - 5 \hat{k}

and

λ \hat{i} + 2 \hat{j} + 3 \hat{k}

is equal to one. Find the value of

λ