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If two vector $\vec{A} = 2 \hat{i} + 3 \hat{j} - \hat{k} and - 4 \hat{i} - 6 \hat{j} - λ \hat{k}$ are parallel to each other then value of $λ$

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detailed solution

Correct option is B

Let A→ = 2i^+3j^−k^ and −4i^−6j^+λk^A→ and B→ are parallel to each othera1b1 = a2b2 = a3b3 i.e.,2-4 = 3-6 = -1λ ⇒ λ = 2

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If two vector A→ = 2i^+3j^−k^ and −4i^−6j^−λk^ are parallel to each other then value of λ

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If two vector $\vec{A} = 2 \hat{i} + 3 \hat{j} - \hat{k} and - 4 \hat{i} - 6 \hat{j} - λ \hat{k}$ are parallel to each other then value of $λ$