If \left(\left[\right. \overset{\rightarrow}{a} \times \overset{\rightarrow}{b} \textrm{ }\textrm{ }\textrm{ }\textrm{ }\textrm{ } \overset{\rightarrow}{b} \times \overset{\rightarrow}{c} \textrm{ }\textrm{ }\textrm{ }\textrm{ }\textrm{ } \overset{\rightarrow}{c} \times \overset{\rightarrow}{a} \left]\right.\right)^{} \textrm{ }\textrm{ } = \textrm{ }\textrm{ } \lambda \left(\left[\right. \overset{\rightarrow}{a} \textrm{ } \overset{\rightarrow}{b} \textrm{ } \overset{\rightarrow}{c} \left]\right.\right)^{2} then λ is equal to

Engineering

Mathematics

Scalar Triple Product

Question

If ${[\vec{a} \times \vec{b} \vec{b} \times \vec{c} \vec{c} \times \vec{a}]}^{} = λ {[\vec{a} \vec{b} \vec{c}]}^{2}$ then λ is equal to

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$As, {[\vec{a} \times \vec{b} \vec{b} \times \vec{c} \vec{c} \times \vec{a}]}^{} = {[\vec{a} \vec{b} \vec{c}]}^{2}$

So, λ = 1