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

Question

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

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Elijah Discussed

The scalar product of the vector

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

with the unit vector along the sum of vectors

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 the unit vector along the sum of vectors

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