If vectors a- - i - 2 j - k- b- - 2i - j - k and c- - -i - j - 2k are coplanar- then find the value of - - 4

The correct option is A 9 Vector a⃗ = i + 2 j k, b⃗ = 2 i j + k,c⃗ = λi + j +2 k are coplanar ∴ we have ⇒ #160;1 amp; 2 amp; 1 ...

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Condition for Coplanarity of Four Points

If vectors ...

Question

If vectors $\to a = ˆ i + 2 ˆ j - ˆ k, \to b = 2 ˆ i - ˆ j + ˆ k$ and $\to c = λ ˆ i + ˆ j + 2 ˆ k$ are coplanar, then find the value of $(λ - 4)$

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λ i + j + 2 k, i + λ j - k

2 i - j + λ k

\vec{a} = \hat{i} - \hat{j} + \hat{k}, \vec{b} = 2 \hat{i} + \hat{j} - \hat{k}, \vec{c} = λ \hat{i} - \hat{j} + λ \hat{k}

\vec{a} = 2 \hat{i} - \hat{j} + \hat{k}, \vec{b} = \hat{i} + 2 \hat{j} - 3 \hat{k}, \vec{c} = λ \hat{i} + λ \hat{j} + 5 \hat{k}

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

\vec{a} = \hat{i} + 3 \hat{j}, \vec{b} = 5 \hat{k}, \vec{c} = λ \hat{i} - \hat{j}

λ \hat{i} + \hat{j} + 2 \hat{k}, \hat{i} + λ \hat{j} - \hat{k} and 2 \hat{i} - \hat{j} + λ \hat{k}

\to a = i + j - k, \to b = i - j + k, \to c

\to a

\to a

\to b

\to c =

\to a = \to i + 2 \to j + \to k, \to b = 2 i - j + k, \to c = j + 2 k

\to s

(\to s . \to a) (\to b \times \to c) + (\to s . \to b) (\to c \times \to a) + (\to s . \to c) (\to a \times \to b)

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