Find the value of λwhich makes the vectors a, band ccoplanar, wherea=2i^− j^+ k^, b= i^+ 2j^− 3k^ and c =3i^− λ j^+5k^

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

Question

Find the value of $λ$ which makes the vectors $a, b$ and $c$ coplanar, where $a = 2 \hat{i} - \hat{j} + \hat{k}, b = \hat{i} + 2 \hat{j} - 3 \hat{k}$ and $c = 3 \hat{i} - λ \hat{j} + 5 \hat{k}$

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Find the value of

λ

which makes the vectors

a, b

and

c

coplanar, where

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

and

c = 3 \hat{i} - λ \hat{j} + 5 \hat{k}

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Question Text

Find the value of

λ

which makes the vectors

a, b

and

c

coplanar, where

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

and

c = 3 \hat{i} - λ \hat{j} + 5 \hat{k}