Find the value of λ, which makes the vectors a, band ccoplanar, where a= i^+3j^+4k^, b=2i^+λj^+2k^ and c=4i^−7j^+10k^

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Find the value of , which makes the vectors {{a}}, {{b}}and {{

Question

Find the value of $λ$ , which makes the vectors $a, b$ and $c$ coplanar, where $a = \hat{i} + 3 \hat{j} + 4 \hat{k}, b = 2 \hat{i} + λ \hat{j} + 2 \hat{k}$ and $c = 4 \hat{i} - 7 \hat{j} + 10 \hat{k}$

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Find the value of

λ

, which makes the vectors

a, b

and

c

coplanar, where

a = \hat{i} + 3 \hat{j} + 4 \hat{k}, b = 2 \hat{i} + λ \hat{j} + 2 \hat{k}

and

c = 4 \hat{i} - 7 \hat{j} + 10 \hat{k}

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Question Text

Find the value of

λ

, which makes the vectors

a, b

and

c

coplanar, where

a = \hat{i} + 3 \hat{j} + 4 \hat{k}, b = 2 \hat{i} + λ \hat{j} + 2 \hat{k}

and

c = 4 \hat{i} - 7 \hat{j} + 10 \hat{k}