Find λwhen the projection of a=λi^+j^+4k^on b=2i^+6j^+3k^is 4 units.

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Find the projection of {{a}}={{i}}+{{j}}+{4}{{k}}on {{b}}={2}

Question

Find $λ$ when the projection of $a = λ \hat{i} + \hat{j} + 4 \hat{k}$ on $b = 2 \hat{i} + 6 \hat{j} + 3 \hat{k}$ is 4 units.

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Find

λ

when the projection of

a = λ \hat{i} + \hat{j} + 4 \hat{k}

b = 2 \hat{i} + 6 \hat{j} + 3 \hat{k}

is 4 units.

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Question Text

Find

λ

when the projection of

a = λ \hat{i} + \hat{j} + 4 \hat{k}

b = 2 \hat{i} + 6 \hat{j} + 3 \hat{k}

is 4 units.