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Acceleration in 2D

If a=2î+3ĵ ,b...

Question

If $\to a = 2^i + 3^j, \to b =^i +^j +^k, \to c = λ^i + 4^j + 2^k$ are coterminous edges of a parallelopiped of volume $2$ cubic units, then $λ$ is

A

1

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B

2

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C

3

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D

4

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Solution

The correct option is D $4$
$V = ∣ ∣ ∣ [\to a \to b \to c] ∣ ∣ ∣ = 2 \Rightarrow ∣ ∣ ∣ ∣ \begin{matrix} 2 & 3 & 0 1 & 1 & 1 λ & 4 & 2 \end{matrix} ∣ ∣ ∣ ∣ = 2 \Rightarrow 2 (2 - 4) - 3 (2 - λ) + 0 = 2 \Rightarrow λ = 4$

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Acceleration in 2D

Standard XII Physics

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